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Finding the Fourth Proportional to 513,521.56, 708,646.48 and 284,072.88

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Solution

The fourth proportional to 513,521.56, 708,646.48 and 284,072.88 is: 392,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,521.56 : 708,646.48 = 284,072.88 : x
  2. Step 2: Convert to fraction form
    513,521.56/708,646.48 = 284,072.88/x
  3. Step 3: Cross multiply
    513,521.56x = 708,646.48 × 284,072.88
  4. Step 4: Simplify right side
    513,521.56x = 201,307,246,475.46
  5. Step 5: Solve for x
    x = 201,307,246,475.46/513,521.56
  6. Step 6: Final answer
    x = 392,013.23

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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.