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Finding the Fourth Proportional to 720,138.32, 993,760.40 and 414,191.60

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Solution

The fourth proportional to 720,138.32, 993,760.40 and 414,191.60 is: 571,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,138.32 : 993,760.40 = 414,191.60 : x
  2. Step 2: Convert to fraction form
    720,138.32/993,760.40 = 414,191.60/x
  3. Step 3: Cross multiply
    720,138.32x = 993,760.40 × 414,191.60
  4. Step 4: Simplify right side
    720,138.32x = 411,607,210,092.64
  5. Step 5: Solve for x
    x = 411,607,210,092.64/720,138.32
  6. Step 6: Final answer
    x = 571,566.88

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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.