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Finding the Fourth Proportional to 509,087, 702,540.06 and 282,753.56

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Solution

The fourth proportional to 509,087, 702,540.06 and 282,753.56 is: 390,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,087 : 702,540.06 = 282,753.56 : x
  2. Step 2: Convert to fraction form
    509,087/702,540.06 = 282,753.56/x
  3. Step 3: Cross multiply
    509,087x = 702,540.06 × 282,753.56
  4. Step 4: Simplify right side
    509,087x = 198,645,703,007.61
  5. Step 5: Solve for x
    x = 198,645,703,007.61/509,087
  6. Step 6: Final answer
    x = 390,199.91

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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.