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Finding the Fourth Proportional to 417,543.18, 626,392.79 and 189,855.52

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Solution

The fourth proportional to 417,543.18, 626,392.79 and 189,855.52 is: 284,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,543.18 : 626,392.79 = 189,855.52 : x
  2. Step 2: Convert to fraction form
    417,543.18/626,392.79 = 189,855.52/x
  3. Step 3: Cross multiply
    417,543.18x = 626,392.79 × 189,855.52
  4. Step 4: Simplify right side
    417,543.18x = 118,924,129,896.07
  5. Step 5: Solve for x
    x = 118,924,129,896.07/417,543.18
  6. Step 6: Final answer
    x = 284,818.76

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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.