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Finding the Fourth Proportional to 288,275.89, 432,424.77 and 77,913.91

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Solution

The fourth proportional to 288,275.89, 432,424.77 and 77,913.91 is: 116,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,275.89 : 432,424.77 = 77,913.91 : x
  2. Step 2: Convert to fraction form
    288,275.89/432,424.77 = 77,913.91/x
  3. Step 3: Cross multiply
    288,275.89x = 432,424.77 × 77,913.91
  4. Step 4: Simplify right side
    288,275.89x = 33,691,904,611.55
  5. Step 5: Solve for x
    x = 33,691,904,611.55/288,275.89
  6. Step 6: Final answer
    x = 116,873.82

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1.5x scale

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.