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Finding the Fourth Proportional to 409,037.06, 564,182.52 and 354,490.55

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Solution

The fourth proportional to 409,037.06, 564,182.52 and 354,490.55 is: 488,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,037.06 : 564,182.52 = 354,490.55 : x
  2. Step 2: Convert to fraction form
    409,037.06/564,182.52 = 354,490.55/x
  3. Step 3: Cross multiply
    409,037.06x = 564,182.52 × 354,490.55
  4. Step 4: Simplify right side
    409,037.06x = 199,997,371,815.19
  5. Step 5: Solve for x
    x = 199,997,371,815.19/409,037.06
  6. Step 6: Final answer
    x = 488,946.83

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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.