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Finding the Fourth Proportional to 419,215.71, 578,330.78 and 283,205.91

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Solution

The fourth proportional to 419,215.71, 578,330.78 and 283,205.91 is: 390,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,215.71 : 578,330.78 = 283,205.91 : x
  2. Step 2: Convert to fraction form
    419,215.71/578,330.78 = 283,205.91/x
  3. Step 3: Cross multiply
    419,215.71x = 578,330.78 × 283,205.91
  4. Step 4: Simplify right side
    419,215.71x = 163,786,693,414.88
  5. Step 5: Solve for x
    x = 163,786,693,414.88/419,215.71
  6. Step 6: Final answer
    x = 390,697.89

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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.