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Finding the Fourth Proportional to 512,105.64, 707,038.67 and 458,298.15

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Solution

The fourth proportional to 512,105.64, 707,038.67 and 458,298.15 is: 632,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,105.64 : 707,038.67 = 458,298.15 : x
  2. Step 2: Convert to fraction form
    512,105.64/707,038.67 = 458,298.15/x
  3. Step 3: Cross multiply
    512,105.64x = 707,038.67 × 458,298.15
  4. Step 4: Simplify right side
    512,105.64x = 324,034,516,910.90
  5. Step 5: Solve for x
    x = 324,034,516,910.90/512,105.64
  6. Step 6: Final answer
    x = 632,749.36

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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.