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Finding the Fourth Proportional to 413,285.68, 570,187.56 and 270,128.40

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Solution

The fourth proportional to 413,285.68, 570,187.56 and 270,128.40 is: 372,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,285.68 : 570,187.56 = 270,128.40 : x
  2. Step 2: Convert to fraction form
    413,285.68/570,187.56 = 270,128.40/x
  3. Step 3: Cross multiply
    413,285.68x = 570,187.56 × 270,128.40
  4. Step 4: Simplify right side
    413,285.68x = 154,023,853,282.70
  5. Step 5: Solve for x
    x = 154,023,853,282.70/413,285.68
  6. Step 6: Final answer
    x = 372,681.32

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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.