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Finding the Fourth Proportional to 509,057.08, 702,479.52 and 282,717.16

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Solution

The fourth proportional to 509,057.08, 702,479.52 and 282,717.16 is: 390,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,057.08 : 702,479.52 = 282,717.16 : x
  2. Step 2: Convert to fraction form
    509,057.08/702,479.52 = 282,717.16/x
  3. Step 3: Cross multiply
    509,057.08x = 702,479.52 × 282,717.16
  4. Step 4: Simplify right side
    509,057.08x = 198,603,009,926.58
  5. Step 5: Solve for x
    x = 198,603,009,926.58/509,057.08
  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.