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Finding the Fourth Proportional to 456,411.80, 684,617.70 and 156,865.70

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Solution

The fourth proportional to 456,411.80, 684,617.70 and 156,865.70 is: 235,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,411.80 : 684,617.70 = 156,865.70 : x
  2. Step 2: Convert to fraction form
    456,411.80/684,617.70 = 156,865.70/x
  3. Step 3: Cross multiply
    456,411.80x = 684,617.70 × 156,865.70
  4. Step 4: Simplify right side
    456,411.80x = 107,393,034,742.89
  5. Step 5: Solve for x
    x = 107,393,034,742.89/456,411.80
  6. Step 6: Final answer
    x = 235,298.55

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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.