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Finding the Fourth Proportional to 406,770, 561,363.12 and 234,623.76

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Solution

The fourth proportional to 406,770, 561,363.12 and 234,623.76 is: 323,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,770 : 561,363.12 = 234,623.76 : x
  2. Step 2: Convert to fraction form
    406,770/561,363.12 = 234,623.76/x
  3. Step 3: Cross multiply
    406,770x = 561,363.12 × 234,623.76
  4. Step 4: Simplify right side
    406,770x = 131,709,125,939.73
  5. Step 5: Solve for x
    x = 131,709,125,939.73/406,770
  6. Step 6: Final answer
    x = 323,792.62

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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.