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Finding the Fourth Proportional to 422,471.90, 583,013.50 and 231,492.13

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Solution

The fourth proportional to 422,471.90, 583,013.50 and 231,492.13 is: 319,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,471.90 : 583,013.50 = 231,492.13 : x
  2. Step 2: Convert to fraction form
    422,471.90/583,013.50 = 231,492.13/x
  3. Step 3: Cross multiply
    422,471.90x = 583,013.50 × 231,492.13
  4. Step 4: Simplify right side
    422,471.90x = 134,963,034,897.49
  5. Step 5: Solve for x
    x = 134,963,034,897.49/422,471.90
  6. Step 6: Final answer
    x = 319,460.38

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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.