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Finding the Fourth Proportional to 512,475.60, 707,201.64 and 286,116.24

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Solution

The fourth proportional to 512,475.60, 707,201.64 and 286,116.24 is: 394,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,475.60 : 707,201.64 = 286,116.24 : x
  2. Step 2: Convert to fraction form
    512,475.60/707,201.64 = 286,116.24/x
  3. Step 3: Cross multiply
    512,475.60x = 707,201.64 × 286,116.24
  4. Step 4: Simplify right side
    512,475.60x = 202,341,874,158.63
  5. Step 5: Solve for x
    x = 202,341,874,158.63/512,475.60
  6. Step 6: Final answer
    x = 394,832.21

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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.