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Finding the Fourth Proportional to 289,294.64, 432,182.59 and 187,261.47

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Solution

The fourth proportional to 289,294.64, 432,182.59 and 187,261.47 is: 279,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,294.64 : 432,182.59 = 187,261.47 : x
  2. Step 2: Convert to fraction form
    289,294.64/432,182.59 = 187,261.47/x
  3. Step 3: Cross multiply
    289,294.64x = 432,182.59 × 187,261.47
  4. Step 4: Simplify right side
    289,294.64x = 80,931,149,783.61
  5. Step 5: Solve for x
    x = 80,931,149,783.61/289,294.64
  6. Step 6: Final answer
    x = 279,753.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.