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Finding the Fourth Proportional to 521,703.30, 781,388.55 and 402,989.70

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Solution

The fourth proportional to 521,703.30, 781,388.55 and 402,989.70 is: 603,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,703.30 : 781,388.55 = 402,989.70 : x
  2. Step 2: Convert to fraction form
    521,703.30/781,388.55 = 402,989.70/x
  3. Step 3: Cross multiply
    521,703.30x = 781,388.55 × 402,989.70
  4. Step 4: Simplify right side
    521,703.30x = 314,891,537,347.94
  5. Step 5: Solve for x
    x = 314,891,537,347.94/521,703.30
  6. Step 6: Final answer
    x = 603,583.56

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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.