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Finding the Fourth Proportional to 398,641.53, 550,129.64 and 217,352.01

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Solution

The fourth proportional to 398,641.53, 550,129.64 and 217,352.01 is: 299,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,641.53 : 550,129.64 = 217,352.01 : x
  2. Step 2: Convert to fraction form
    398,641.53/550,129.64 = 217,352.01/x
  3. Step 3: Cross multiply
    398,641.53x = 550,129.64 × 217,352.01
  4. Step 4: Simplify right side
    398,641.53x = 119,571,781,927.82
  5. Step 5: Solve for x
    x = 119,571,781,927.82/398,641.53
  6. Step 6: Final answer
    x = 299,948.13

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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.