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Finding the Fourth Proportional to 648,275.96, 894,711.06 and 361,814.46

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Solution

The fourth proportional to 648,275.96, 894,711.06 and 361,814.46 is: 499,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,275.96 : 894,711.06 = 361,814.46 : x
  2. Step 2: Convert to fraction form
    648,275.96/894,711.06 = 361,814.46/x
  3. Step 3: Cross multiply
    648,275.96x = 894,711.06 × 361,814.46
  4. Step 4: Simplify right side
    648,275.96x = 323,719,399,029.93
  5. Step 5: Solve for x
    x = 323,719,399,029.93/648,275.96
  6. Step 6: Final answer
    x = 499,354.32

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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.