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Finding the Fourth Proportional to 413,535, 570,406.14 and 298,622.28

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Solution

The fourth proportional to 413,535, 570,406.14 and 298,622.28 is: 411,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,535 : 570,406.14 = 298,622.28 : x
  2. Step 2: Convert to fraction form
    413,535/570,406.14 = 298,622.28/x
  3. Step 3: Cross multiply
    413,535x = 570,406.14 × 298,622.28
  4. Step 4: Simplify right side
    413,535x = 170,335,982,052.80
  5. Step 5: Solve for x
    x = 170,335,982,052.80/413,535
  6. Step 6: Final answer
    x = 411,902.21

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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.