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Finding the Fourth Proportional to 477,311.96, 715,967.68 and 140,355.40

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Solution

The fourth proportional to 477,311.96, 715,967.68 and 140,355.40 is: 210,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,311.96 : 715,967.68 = 140,355.40 : x
  2. Step 2: Convert to fraction form
    477,311.96/715,967.68 = 140,355.40/x
  3. Step 3: Cross multiply
    477,311.96x = 715,967.68 × 140,355.40
  4. Step 4: Simplify right side
    477,311.96x = 100,489,930,113.47
  5. Step 5: Solve for x
    x = 100,489,930,113.47/477,311.96
  6. Step 6: Final answer
    x = 210,533.02

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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.