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Finding the Fourth Proportional to 413,197.92, 570,402 and 317,671.20

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Solution

The fourth proportional to 413,197.92, 570,402 and 317,671.20 is: 438,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,197.92 : 570,402 = 317,671.20 : x
  2. Step 2: Convert to fraction form
    413,197.92/570,402 = 317,671.20/x
  3. Step 3: Cross multiply
    413,197.92x = 570,402 × 317,671.20
  4. Step 4: Simplify right side
    413,197.92x = 181,200,287,822.40
  5. Step 5: Solve for x
    x = 181,200,287,822.40/413,197.92
  6. Step 6: Final answer
    x = 438,531.46

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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.