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Finding the Fourth Proportional to 413,478.72, 570,813.21 and 353,691.63

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Solution

The fourth proportional to 413,478.72, 570,813.21 and 353,691.63 is: 488,276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,478.72 : 570,813.21 = 353,691.63 : x
  2. Step 2: Convert to fraction form
    413,478.72/570,813.21 = 353,691.63/x
  3. Step 3: Cross multiply
    413,478.72x = 570,813.21 × 353,691.63
  4. Step 4: Simplify right side
    413,478.72x = 201,891,854,670.43
  5. Step 5: Solve for x
    x = 201,891,854,670.43/413,478.72
  6. Step 6: Final answer
    x = 488,276.29

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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.