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Finding the Fourth Proportional to 513,478.66, 708,546.04 and 283,999.49

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Solution

The fourth proportional to 513,478.66, 708,546.04 and 283,999.49 is: 391,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,478.66 : 708,546.04 = 283,999.49 : x
  2. Step 2: Convert to fraction form
    513,478.66/708,546.04 = 283,999.49/x
  3. Step 3: Cross multiply
    513,478.66x = 708,546.04 × 283,999.49
  4. Step 4: Simplify right side
    513,478.66x = 201,226,714,001.52
  5. Step 5: Solve for x
    x = 201,226,714,001.52/513,478.66
  6. Step 6: Final answer
    x = 391,889.15

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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.