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Finding the Fourth Proportional to 509,116.32, 763,650.72 and 209,522.16

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Solution

The fourth proportional to 509,116.32, 763,650.72 and 209,522.16 is: 314,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,116.32 : 763,650.72 = 209,522.16 : x
  2. Step 2: Convert to fraction form
    509,116.32/763,650.72 = 209,522.16/x
  3. Step 3: Cross multiply
    509,116.32x = 763,650.72 × 209,522.16
  4. Step 4: Simplify right side
    509,116.32x = 160,001,748,339.96
  5. Step 5: Solve for x
    x = 160,001,748,339.96/509,116.32
  6. Step 6: Final answer
    x = 314,273.46

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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.