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Finding the Fourth Proportional to 653,323.68, 979,778.16 and 209,988

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Solution

The fourth proportional to 653,323.68, 979,778.16 and 209,988 is: 314,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,323.68 : 979,778.16 = 209,988 : x
  2. Step 2: Convert to fraction form
    653,323.68/979,778.16 = 209,988/x
  3. Step 3: Cross multiply
    653,323.68x = 979,778.16 × 209,988
  4. Step 4: Simplify right side
    653,323.68x = 205,741,656,262.08
  5. Step 5: Solve for x
    x = 205,741,656,262.08/653,323.68
  6. Step 6: Final answer
    x = 314,915.35

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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.