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Finding the Fourth Proportional to 398,463.20, 549,672.04 and 253,020.14

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Solution

The fourth proportional to 398,463.20, 549,672.04 and 253,020.14 is: 349,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,463.20 : 549,672.04 = 253,020.14 : x
  2. Step 2: Convert to fraction form
    398,463.20/549,672.04 = 253,020.14/x
  3. Step 3: Cross multiply
    398,463.20x = 549,672.04 × 253,020.14
  4. Step 4: Simplify right side
    398,463.20x = 139,078,093,133.98
  5. Step 5: Solve for x
    x = 139,078,093,133.98/398,463.20
  6. Step 6: Final answer
    x = 349,036.23

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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.