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Finding the Fourth Proportional to 296,780.78, 409,699.47 and 169,431.74

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Solution

The fourth proportional to 296,780.78, 409,699.47 and 169,431.74 is: 233,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,780.78 : 409,699.47 = 169,431.74 : x
  2. Step 2: Convert to fraction form
    296,780.78/409,699.47 = 169,431.74/x
  3. Step 3: Cross multiply
    296,780.78x = 409,699.47 × 169,431.74
  4. Step 4: Simplify right side
    296,780.78x = 69,416,094,079.18
  5. Step 5: Solve for x
    x = 69,416,094,079.18/296,780.78
  6. Step 6: Final answer
    x = 233,896.87

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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.