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Finding the Fourth Proportional to 319,711.84, 479,663.76 and 151,360.48

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Solution

The fourth proportional to 319,711.84, 479,663.76 and 151,360.48 is: 227,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,711.84 : 479,663.76 = 151,360.48 : x
  2. Step 2: Convert to fraction form
    319,711.84/479,663.76 = 151,360.48/x
  3. Step 3: Cross multiply
    319,711.84x = 479,663.76 × 151,360.48
  4. Step 4: Simplify right side
    319,711.84x = 72,602,136,952.20
  5. Step 5: Solve for x
    x = 72,602,136,952.20/319,711.84
  6. Step 6: Final answer
    x = 227,086.17

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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.