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Finding the Fourth Proportional to 708,641.67, 977,924.82 and 386,351.69

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Solution

The fourth proportional to 708,641.67, 977,924.82 and 386,351.69 is: 533,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,641.67 : 977,924.82 = 386,351.69 : x
  2. Step 2: Convert to fraction form
    708,641.67/977,924.82 = 386,351.69/x
  3. Step 3: Cross multiply
    708,641.67x = 977,924.82 × 386,351.69
  4. Step 4: Simplify right side
    708,641.67x = 377,822,902,010.32
  5. Step 5: Solve for x
    x = 377,822,902,010.32/708,641.67
  6. Step 6: Final answer
    x = 533,164.95

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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.