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Finding the Fourth Proportional to 289,524.46, 434,111.38 and 129,570.61

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Solution

The fourth proportional to 289,524.46, 434,111.38 and 129,570.61 is: 194,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,524.46 : 434,111.38 = 129,570.61 : x
  2. Step 2: Convert to fraction form
    289,524.46/434,111.38 = 129,570.61/x
  3. Step 3: Cross multiply
    289,524.46x = 434,111.38 × 129,570.61
  4. Step 4: Simplify right side
    289,524.46x = 56,248,076,432.17
  5. Step 5: Solve for x
    x = 56,248,076,432.17/289,524.46
  6. Step 6: Final answer
    x = 194,277.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.