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Finding the Fourth Proportional to 398,337.98, 597,683.61 and 208,753.28

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Solution

The fourth proportional to 398,337.98, 597,683.61 and 208,753.28 is: 313,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,337.98 : 597,683.61 = 208,753.28 : x
  2. Step 2: Convert to fraction form
    398,337.98/597,683.61 = 208,753.28/x
  3. Step 3: Cross multiply
    398,337.98x = 597,683.61 × 208,753.28
  4. Step 4: Simplify right side
    398,337.98x = 124,768,411,561.65
  5. Step 5: Solve for x
    x = 124,768,411,561.65/398,337.98
  6. Step 6: Final answer
    x = 313,222.49

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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.