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Finding the Fourth Proportional to 729,012.75, 1,006,066.76 and 406,751.01

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Solution

The fourth proportional to 729,012.75, 1,006,066.76 and 406,751.01 is: 561,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,012.75 : 1,006,066.76 = 406,751.01 : x
  2. Step 2: Convert to fraction form
    729,012.75/1,006,066.76 = 406,751.01/x
  3. Step 3: Cross multiply
    729,012.75x = 1,006,066.76 × 406,751.01
  4. Step 4: Simplify right side
    729,012.75x = 409,218,668,723.67
  5. Step 5: Solve for x
    x = 409,218,668,723.67/729,012.75
  6. Step 6: Final answer
    x = 561,332.66

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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.