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Finding the Fourth Proportional to 288,922.86, 433,395.63 and 89,225.46

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Solution

The fourth proportional to 288,922.86, 433,395.63 and 89,225.46 is: 133,841.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,922.86 : 433,395.63 = 89,225.46 : x
  2. Step 2: Convert to fraction form
    288,922.86/433,395.63 = 89,225.46/x
  3. Step 3: Cross multiply
    288,922.86x = 433,395.63 × 89,225.46
  4. Step 4: Simplify right side
    288,922.86x = 38,669,924,448.74
  5. Step 5: Solve for x
    x = 38,669,924,448.74/288,922.86
  6. Step 6: Final answer
    x = 133,841.69

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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.