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Finding the Fourth Proportional to 527,961.65, 728,396.15 and 346,771.80

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Solution

The fourth proportional to 527,961.65, 728,396.15 and 346,771.80 is: 478,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,961.65 : 728,396.15 = 346,771.80 : x
  2. Step 2: Convert to fraction form
    527,961.65/728,396.15 = 346,771.80/x
  3. Step 3: Cross multiply
    527,961.65x = 728,396.15 × 346,771.80
  4. Step 4: Simplify right side
    527,961.65x = 252,587,242,314.71
  5. Step 5: Solve for x
    x = 252,587,242,314.71/527,961.65
  6. Step 6: Final answer
    x = 478,419.68

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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.