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Finding the Fourth Proportional to 512,442.65, 707,176.51 and 282,999.56

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Solution

The fourth proportional to 512,442.65, 707,176.51 and 282,999.56 is: 390,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,442.65 : 707,176.51 = 282,999.56 : x
  2. Step 2: Convert to fraction form
    512,442.65/707,176.51 = 282,999.56/x
  3. Step 3: Cross multiply
    512,442.65x = 707,176.51 × 282,999.56
  4. Step 4: Simplify right side
    512,442.65x = 200,130,636,928.95
  5. Step 5: Solve for x
    x = 200,130,636,928.95/512,442.65
  6. Step 6: Final answer
    x = 390,542.50

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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.