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Finding the Fourth Proportional to 581,957.86, 802,646.87 and 378,074.47

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Solution

The fourth proportional to 581,957.86, 802,646.87 and 378,074.47 is: 521,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,957.86 : 802,646.87 = 378,074.47 : x
  2. Step 2: Convert to fraction form
    581,957.86/802,646.87 = 378,074.47/x
  3. Step 3: Cross multiply
    581,957.86x = 802,646.87 × 378,074.47
  4. Step 4: Simplify right side
    581,957.86x = 303,460,288,910.98
  5. Step 5: Solve for x
    x = 303,460,288,910.98/581,957.86
  6. Step 6: Final answer
    x = 521,447.19

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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.