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Finding the Fourth Proportional to 438,045.20, 656,938.20 and 171,652.40

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Solution

The fourth proportional to 438,045.20, 656,938.20 and 171,652.40 is: 257,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,045.20 : 656,938.20 = 171,652.40 : x
  2. Step 2: Convert to fraction form
    438,045.20/656,938.20 = 171,652.40/x
  3. Step 3: Cross multiply
    438,045.20x = 656,938.20 × 171,652.40
  4. Step 4: Simplify right side
    438,045.20x = 112,765,018,681.68
  5. Step 5: Solve for x
    x = 112,765,018,681.68/438,045.20
  6. Step 6: Final answer
    x = 257,427.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.