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Finding the Fourth Proportional to 438,420.30, 657,302.40 and 238,965.90

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Solution

The fourth proportional to 438,420.30, 657,302.40 and 238,965.90 is: 358,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,420.30 : 657,302.40 = 238,965.90 : x
  2. Step 2: Convert to fraction form
    438,420.30/657,302.40 = 238,965.90/x
  3. Step 3: Cross multiply
    438,420.30x = 657,302.40 × 238,965.90
  4. Step 4: Simplify right side
    438,420.30x = 157,072,859,588.16
  5. Step 5: Solve for x
    x = 157,072,859,588.16/438,420.30
  6. Step 6: Final answer
    x = 358,270.04

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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.