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Finding the Fourth Proportional to 520,932, 718,890.50 and 282,468

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Solution

The fourth proportional to 520,932, 718,890.50 and 282,468 is: 389,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,932 : 718,890.50 = 282,468 : x
  2. Step 2: Convert to fraction form
    520,932/718,890.50 = 282,468/x
  3. Step 3: Cross multiply
    520,932x = 718,890.50 × 282,468
  4. Step 4: Simplify right side
    520,932x = 203,063,561,754
  5. Step 5: Solve for x
    x = 203,063,561,754/520,932
  6. Step 6: Final answer
    x = 389,808.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.