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Finding the Fourth Proportional to 509,057.07, 702,479.51 and 282,717.15

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Solution

The fourth proportional to 509,057.07, 702,479.51 and 282,717.15 is: 390,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,057.07 : 702,479.51 = 282,717.15 : x
  2. Step 2: Convert to fraction form
    509,057.07/702,479.51 = 282,717.15/x
  3. Step 3: Cross multiply
    509,057.07x = 702,479.51 × 282,717.15
  4. Step 4: Simplify right side
    509,057.07x = 198,603,005,000.60
  5. Step 5: Solve for x
    x = 198,603,005,000.60/509,057.07
  6. Step 6: Final answer
    x = 390,138.98

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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.