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Finding the Fourth Proportional to 406,417.50, 560,835.90 and 222,656.76

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Solution

The fourth proportional to 406,417.50, 560,835.90 and 222,656.76 is: 307,255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,417.50 : 560,835.90 = 222,656.76 : x
  2. Step 2: Convert to fraction form
    406,417.50/560,835.90 = 222,656.76/x
  3. Step 3: Cross multiply
    406,417.50x = 560,835.90 × 222,656.76
  4. Step 4: Simplify right side
    406,417.50x = 124,873,904,385.68
  5. Step 5: Solve for x
    x = 124,873,904,385.68/406,417.50
  6. Step 6: Final answer
    x = 307,255.23

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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.