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Finding the Fourth Proportional to 487,940.80, 731,911.20 and 338,641.60

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Solution

The fourth proportional to 487,940.80, 731,911.20 and 338,641.60 is: 507,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,940.80 : 731,911.20 = 338,641.60 : x
  2. Step 2: Convert to fraction form
    487,940.80/731,911.20 = 338,641.60/x
  3. Step 3: Cross multiply
    487,940.80x = 731,911.20 × 338,641.60
  4. Step 4: Simplify right side
    487,940.80x = 247,855,579,825.92
  5. Step 5: Solve for x
    x = 247,855,579,825.92/487,940.80
  6. Step 6: Final answer
    x = 507,962.40

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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.