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Finding the Fourth Proportional to 813,888,950.10, 1,220,833,425.15 and 782,144,207.70

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Solution

The fourth proportional to 813,888,950.10, 1,220,833,425.15 and 782,144,207.70 is: 1,173,216,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,888,950.10 : 1,220,833,425.15 = 782,144,207.70 : x
  2. Step 2: Convert to fraction form
    813,888,950.10/1,220,833,425.15 = 782,144,207.70/x
  3. Step 3: Cross multiply
    813,888,950.10x = 1,220,833,425.15 × 782,144,207.70
  4. Step 4: Simplify right side
    813,888,950.10x = 954,867,792,047,624,192
  5. Step 5: Solve for x
    x = 954,867,792,047,624,192/813,888,950.10
  6. Step 6: Final answer
    x = 1,173,216,311.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.