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Finding the Fourth Proportional to 513,645.45, 708,851.62 and 284,199

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Solution

The fourth proportional to 513,645.45, 708,851.62 and 284,199 is: 392,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,645.45 : 708,851.62 = 284,199 : x
  2. Step 2: Convert to fraction form
    513,645.45/708,851.62 = 284,199/x
  3. Step 3: Cross multiply
    513,645.45x = 708,851.62 × 284,199
  4. Step 4: Simplify right side
    513,645.45x = 201,454,921,552.38
  5. Step 5: Solve for x
    x = 201,454,921,552.38/513,645.45
  6. Step 6: Final answer
    x = 392,206.18

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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.