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Finding the Fourth Proportional to 512,585.06, 707,364.56 and 283,158.10

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Solution

The fourth proportional to 512,585.06, 707,364.56 and 283,158.10 is: 390,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,585.06 : 707,364.56 = 283,158.10 : x
  2. Step 2: Convert to fraction form
    512,585.06/707,364.56 = 283,158.10/x
  3. Step 3: Cross multiply
    512,585.06x = 707,364.56 × 283,158.10
  4. Step 4: Simplify right side
    512,585.06x = 200,295,999,864.32
  5. Step 5: Solve for x
    x = 200,295,999,864.32/512,585.06
  6. Step 6: Final answer
    x = 390,756.61

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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.