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Finding the Fourth Proportional to 406,077.66, 560,142.00 and 260,834.55

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Solution

The fourth proportional to 406,077.66, 560,142.00 and 260,834.55 is: 359,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,077.66 : 560,142.00 = 260,834.55 : x
  2. Step 2: Convert to fraction form
    406,077.66/560,142.00 = 260,834.55/x
  3. Step 3: Cross multiply
    406,077.66x = 560,142.00 × 260,834.55
  4. Step 4: Simplify right side
    406,077.66x = 146,104,385,139.17
  5. Step 5: Solve for x
    x = 146,104,385,139.17/406,077.66
  6. Step 6: Final answer
    x = 359,794.20

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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.