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Finding the Fourth Proportional to 231,472.49, 319,441.12 and 135,978.35

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Solution

The fourth proportional to 231,472.49, 319,441.12 and 135,978.35 is: 187,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,472.49 : 319,441.12 = 135,978.35 : x
  2. Step 2: Convert to fraction form
    231,472.49/319,441.12 = 135,978.35/x
  3. Step 3: Cross multiply
    231,472.49x = 319,441.12 × 135,978.35
  4. Step 4: Simplify right side
    231,472.49x = 43,437,074,482.60
  5. Step 5: Solve for x
    x = 43,437,074,482.60/231,472.49
  6. Step 6: Final answer
    x = 187,655.45

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1.5x scale

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.