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Finding the Fourth Proportional to 708,502.36, 977,704.38 and 386,205.40

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Solution

The fourth proportional to 708,502.36, 977,704.38 and 386,205.40 is: 532,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,502.36 : 977,704.38 = 386,205.40 : x
  2. Step 2: Convert to fraction form
    708,502.36/977,704.38 = 386,205.40/x
  3. Step 3: Cross multiply
    708,502.36x = 977,704.38 × 386,205.40
  4. Step 4: Simplify right side
    708,502.36x = 377,594,711,159.65
  5. Step 5: Solve for x
    x = 377,594,711,159.65/708,502.36
  6. Step 6: Final answer
    x = 532,947.71

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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.