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Finding the Fourth Proportional to 711,139.02, 981,291.47 and 420,759.48

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Solution

The fourth proportional to 711,139.02, 981,291.47 and 420,759.48 is: 580,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,139.02 : 981,291.47 = 420,759.48 : x
  2. Step 2: Convert to fraction form
    711,139.02/981,291.47 = 420,759.48/x
  3. Step 3: Cross multiply
    711,139.02x = 981,291.47 × 420,759.48
  4. Step 4: Simplify right side
    711,139.02x = 412,887,688,645.64
  5. Step 5: Solve for x
    x = 412,887,688,645.64/711,139.02
  6. Step 6: Final answer
    x = 580,600.53

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Double scale
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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.