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Finding the Fourth Proportional to 460,703.52, 689,412.96 and 318,577.68

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Solution

The fourth proportional to 460,703.52, 689,412.96 and 318,577.68 is: 476,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,703.52 : 689,412.96 = 318,577.68 : x
  2. Step 2: Convert to fraction form
    460,703.52/689,412.96 = 318,577.68/x
  3. Step 3: Cross multiply
    460,703.52x = 689,412.96 × 318,577.68
  4. Step 4: Simplify right side
    460,703.52x = 219,631,581,358.73
  5. Step 5: Solve for x
    x = 219,631,581,358.73/460,703.52
  6. Step 6: Final answer
    x = 476,730.85

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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.