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Finding the Fourth Proportional to 287,139.80, 430,515.30 and 152,226.20

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Solution

The fourth proportional to 287,139.80, 430,515.30 and 152,226.20 is: 228,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,139.80 : 430,515.30 = 152,226.20 : x
  2. Step 2: Convert to fraction form
    287,139.80/430,515.30 = 152,226.20/x
  3. Step 3: Cross multiply
    287,139.80x = 430,515.30 × 152,226.20
  4. Step 4: Simplify right side
    287,139.80x = 65,535,708,160.86
  5. Step 5: Solve for x
    x = 65,535,708,160.86/287,139.80
  6. Step 6: Final answer
    x = 228,236.24

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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.