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Finding the Fourth Proportional to 377,905, 521,508.90 and 208,139.13

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Solution

The fourth proportional to 377,905, 521,508.90 and 208,139.13 is: 287,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,905 : 521,508.90 = 208,139.13 : x
  2. Step 2: Convert to fraction form
    377,905/521,508.90 = 208,139.13/x
  3. Step 3: Cross multiply
    377,905x = 521,508.90 × 208,139.13
  4. Step 4: Simplify right side
    377,905x = 108,546,406,125.71
  5. Step 5: Solve for x
    x = 108,546,406,125.71/377,905
  6. Step 6: Final answer
    x = 287,231.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.