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Finding the Fourth Proportional to 522,689.76, 783,941.16 and 138,441.30

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Solution

The fourth proportional to 522,689.76, 783,941.16 and 138,441.30 is: 207,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,689.76 : 783,941.16 = 138,441.30 : x
  2. Step 2: Convert to fraction form
    522,689.76/783,941.16 = 138,441.30/x
  3. Step 3: Cross multiply
    522,689.76x = 783,941.16 × 138,441.30
  4. Step 4: Simplify right side
    522,689.76x = 108,529,833,313.91
  5. Step 5: Solve for x
    x = 108,529,833,313.91/522,689.76
  6. Step 6: Final answer
    x = 207,637.19

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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.