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Finding the Fourth Proportional to 429,072, 592,119.36 and 238,116.16

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Solution

The fourth proportional to 429,072, 592,119.36 and 238,116.16 is: 328,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,072 : 592,119.36 = 238,116.16 : x
  2. Step 2: Convert to fraction form
    429,072/592,119.36 = 238,116.16/x
  3. Step 3: Cross multiply
    429,072x = 592,119.36 × 238,116.16
  4. Step 4: Simplify right side
    429,072x = 140,993,188,264.86
  5. Step 5: Solve for x
    x = 140,993,188,264.86/429,072
  6. Step 6: Final answer
    x = 328,600.30

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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.