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Finding the Fourth Proportional to 506,181.45, 698,561.01 and 291,316.80

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Solution

The fourth proportional to 506,181.45, 698,561.01 and 291,316.80 is: 402,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,181.45 : 698,561.01 = 291,316.80 : x
  2. Step 2: Convert to fraction form
    506,181.45/698,561.01 = 291,316.80/x
  3. Step 3: Cross multiply
    506,181.45x = 698,561.01 × 291,316.80
  4. Step 4: Simplify right side
    506,181.45x = 203,502,558,037.97
  5. Step 5: Solve for x
    x = 203,502,558,037.97/506,181.45
  6. Step 6: Final answer
    x = 402,034.80

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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.