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Finding the Fourth Proportional to 665,326.17, 917,860.42 and 407,214.61

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Solution

The fourth proportional to 665,326.17, 917,860.42 and 407,214.61 is: 561,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,326.17 : 917,860.42 = 407,214.61 : x
  2. Step 2: Convert to fraction form
    665,326.17/917,860.42 = 407,214.61/x
  3. Step 3: Cross multiply
    665,326.17x = 917,860.42 × 407,214.61
  4. Step 4: Simplify right side
    665,326.17x = 373,766,172,964.74
  5. Step 5: Solve for x
    x = 373,766,172,964.74/665,326.17
  6. Step 6: Final answer
    x = 561,778.85

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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.