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Finding the Fourth Proportional to 519,319.60, 778,979.40 and 435,338.80

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Solution

The fourth proportional to 519,319.60, 778,979.40 and 435,338.80 is: 653,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,319.60 : 778,979.40 = 435,338.80 : x
  2. Step 2: Convert to fraction form
    519,319.60/778,979.40 = 435,338.80/x
  3. Step 3: Cross multiply
    519,319.60x = 778,979.40 × 435,338.80
  4. Step 4: Simplify right side
    519,319.60x = 339,119,957,220.72
  5. Step 5: Solve for x
    x = 339,119,957,220.72/519,319.60
  6. Step 6: Final answer
    x = 653,008.20

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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.