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Finding the Fourth Proportional to 287,916.80, 432,004.80 and 138,099.20

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Solution

The fourth proportional to 287,916.80, 432,004.80 and 138,099.20 is: 207,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,916.80 : 432,004.80 = 138,099.20 : x
  2. Step 2: Convert to fraction form
    287,916.80/432,004.80 = 138,099.20/x
  3. Step 3: Cross multiply
    287,916.80x = 432,004.80 × 138,099.20
  4. Step 4: Simplify right side
    287,916.80x = 59,659,517,276.16
  5. Step 5: Solve for x
    x = 59,659,517,276.16/287,916.80
  6. Step 6: Final answer
    x = 207,210.96

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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.