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Finding the Fourth Proportional to 578,385.30, 866,068.86 and 465,448.62

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Solution

The fourth proportional to 578,385.30, 866,068.86 and 465,448.62 is: 696,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,385.30 : 866,068.86 = 465,448.62 : x
  2. Step 2: Convert to fraction form
    578,385.30/866,068.86 = 465,448.62/x
  3. Step 3: Cross multiply
    578,385.30x = 866,068.86 × 465,448.62
  4. Step 4: Simplify right side
    578,385.30x = 403,110,555,711.97
  5. Step 5: Solve for x
    x = 403,110,555,711.97/578,385.30
  6. Step 6: Final answer
    x = 696,958.51

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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.