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Finding the Fourth Proportional to 519,302.80, 716,640.78 and 292,962.88

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Solution

The fourth proportional to 519,302.80, 716,640.78 and 292,962.88 is: 404,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,302.80 : 716,640.78 = 292,962.88 : x
  2. Step 2: Convert to fraction form
    519,302.80/716,640.78 = 292,962.88/x
  3. Step 3: Cross multiply
    519,302.80x = 716,640.78 × 292,962.88
  4. Step 4: Simplify right side
    519,302.80x = 209,949,146,834.25
  5. Step 5: Solve for x
    x = 209,949,146,834.25/519,302.80
  6. Step 6: Final answer
    x = 404,290.42

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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.