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Finding the Fourth Proportional to 478,825.70, 718,238.55 and 471,827.30

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Solution

The fourth proportional to 478,825.70, 718,238.55 and 471,827.30 is: 707,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,825.70 : 718,238.55 = 471,827.30 : x
  2. Step 2: Convert to fraction form
    478,825.70/718,238.55 = 471,827.30/x
  3. Step 3: Cross multiply
    478,825.70x = 718,238.55 × 471,827.30
  4. Step 4: Simplify right side
    478,825.70x = 338,884,555,802.42
  5. Step 5: Solve for x
    x = 338,884,555,802.42/478,825.70
  6. Step 6: Final answer
    x = 707,740.95

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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.