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Finding the Fourth Proportional to 610,505.91, 842,498.15 and 338,615.43

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Solution

The fourth proportional to 610,505.91, 842,498.15 and 338,615.43 is: 467,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,505.91 : 842,498.15 = 338,615.43 : x
  2. Step 2: Convert to fraction form
    610,505.91/842,498.15 = 338,615.43/x
  3. Step 3: Cross multiply
    610,505.91x = 842,498.15 × 338,615.43
  4. Step 4: Simplify right side
    610,505.91x = 285,282,871,643.38
  5. Step 5: Solve for x
    x = 285,282,871,643.38/610,505.91
  6. Step 6: Final answer
    x = 467,289.29

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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.