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Finding the Fourth Proportional to 319,758.88, 479,685.71 and 106,457.13

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Solution

The fourth proportional to 319,758.88, 479,685.71 and 106,457.13 is: 159,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,758.88 : 479,685.71 = 106,457.13 : x
  2. Step 2: Convert to fraction form
    319,758.88/479,685.71 = 106,457.13/x
  3. Step 3: Cross multiply
    319,758.88x = 479,685.71 × 106,457.13
  4. Step 4: Simplify right side
    319,758.88x = 51,065,963,988.61
  5. Step 5: Solve for x
    x = 51,065,963,988.61/319,758.88
  6. Step 6: Final answer
    x = 159,701.47

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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.