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Finding the Fourth Proportional to 610,381.56, 842,336.64 and 338,460.90

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Solution

The fourth proportional to 610,381.56, 842,336.64 and 338,460.90 is: 467,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,381.56 : 842,336.64 = 338,460.90 : x
  2. Step 2: Convert to fraction form
    610,381.56/842,336.64 = 338,460.90/x
  3. Step 3: Cross multiply
    610,381.56x = 842,336.64 × 338,460.90
  4. Step 4: Simplify right side
    610,381.56x = 285,098,017,277.38
  5. Step 5: Solve for x
    x = 285,098,017,277.38/610,381.56
  6. Step 6: Final answer
    x = 467,081.64

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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.