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Finding the Fourth Proportional to 238,045.23, 328,478.49 and 142,549.47

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Solution

The fourth proportional to 238,045.23, 328,478.49 and 142,549.47 is: 196,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,045.23 : 328,478.49 = 142,549.47 : x
  2. Step 2: Convert to fraction form
    238,045.23/328,478.49 = 142,549.47/x
  3. Step 3: Cross multiply
    238,045.23x = 328,478.49 × 142,549.47
  4. Step 4: Simplify right side
    238,045.23x = 46,824,434,655.90
  5. Step 5: Solve for x
    x = 46,824,434,655.90/238,045.23
  6. Step 6: Final answer
    x = 196,703.94

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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.