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Finding the Fourth Proportional to 512,570.10, 707,332.32 and 283,122.82

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Solution

The fourth proportional to 512,570.10, 707,332.32 and 283,122.82 is: 390,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,570.10 : 707,332.32 = 283,122.82 : x
  2. Step 2: Convert to fraction form
    512,570.10/707,332.32 = 283,122.82/x
  3. Step 3: Cross multiply
    512,570.10x = 707,332.32 × 283,122.82
  4. Step 4: Simplify right side
    512,570.10x = 200,261,921,115.54
  5. Step 5: Solve for x
    x = 200,261,921,115.54/512,570.10
  6. Step 6: Final answer
    x = 390,701.53

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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.