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Finding the Fourth Proportional to 689,115.20, 950,902.80 and 413,458.40

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Solution

The fourth proportional to 689,115.20, 950,902.80 and 413,458.40 is: 570,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,115.20 : 950,902.80 = 413,458.40 : x
  2. Step 2: Convert to fraction form
    689,115.20/950,902.80 = 413,458.40/x
  3. Step 3: Cross multiply
    689,115.20x = 950,902.80 × 413,458.40
  4. Step 4: Simplify right side
    689,115.20x = 393,158,750,243.52
  5. Step 5: Solve for x
    x = 393,158,750,243.52/689,115.20
  6. Step 6: Final answer
    x = 570,526.89

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1.5x scale

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.