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Finding the Fourth Proportional to 457,666.43, 631,876.13 and 294,395.95

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Solution

The fourth proportional to 457,666.43, 631,876.13 and 294,395.95 is: 406,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,666.43 : 631,876.13 = 294,395.95 : x
  2. Step 2: Convert to fraction form
    457,666.43/631,876.13 = 294,395.95/x
  3. Step 3: Cross multiply
    457,666.43x = 631,876.13 × 294,395.95
  4. Step 4: Simplify right side
    457,666.43x = 186,021,773,573.67
  5. Step 5: Solve for x
    x = 186,021,773,573.67/457,666.43
  6. Step 6: Final answer
    x = 406,457.11

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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.