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Finding the Fourth Proportional to 390,151.83, 585,227.76 and 109,669.08

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Solution

The fourth proportional to 390,151.83, 585,227.76 and 109,669.08 is: 164,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,151.83 : 585,227.76 = 109,669.08 : x
  2. Step 2: Convert to fraction form
    390,151.83/585,227.76 = 109,669.08/x
  3. Step 3: Cross multiply
    390,151.83x = 585,227.76 × 109,669.08
  4. Step 4: Simplify right side
    390,151.83x = 64,181,391,813.01
  5. Step 5: Solve for x
    x = 64,181,391,813.01/390,151.83
  6. Step 6: Final answer
    x = 164,503.63

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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.