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Finding the Fourth Proportional to 319,307.76, 478,964.16 and 141,767.28

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Solution

The fourth proportional to 319,307.76, 478,964.16 and 141,767.28 is: 212,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,307.76 : 478,964.16 = 141,767.28 : x
  2. Step 2: Convert to fraction form
    319,307.76/478,964.16 = 141,767.28/x
  3. Step 3: Cross multiply
    319,307.76x = 478,964.16 × 141,767.28
  4. Step 4: Simplify right side
    319,307.76x = 67,901,446,180.68
  5. Step 5: Solve for x
    x = 67,901,446,180.68/319,307.76
  6. Step 6: Final answer
    x = 212,652.04

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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.