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Finding the Fourth Proportional to 720,142.32, 993,766.14 and 414,195.60

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Solution

The fourth proportional to 720,142.32, 993,766.14 and 414,195.60 is: 571,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,142.32 : 993,766.14 = 414,195.60 : x
  2. Step 2: Convert to fraction form
    720,142.32/993,766.14 = 414,195.60/x
  3. Step 3: Cross multiply
    720,142.32x = 993,766.14 × 414,195.60
  4. Step 4: Simplify right side
    720,142.32x = 411,613,562,616.98
  5. Step 5: Solve for x
    x = 411,613,562,616.98/720,142.32
  6. Step 6: Final answer
    x = 571,572.52

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Double scale
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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.