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Finding the Fourth Proportional to 290,376, 435,729.60 and 112,859.88

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Solution

The fourth proportional to 290,376, 435,729.60 and 112,859.88 is: 169,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,376 : 435,729.60 = 112,859.88 : x
  2. Step 2: Convert to fraction form
    290,376/435,729.60 = 112,859.88/x
  3. Step 3: Cross multiply
    290,376x = 435,729.60 × 112,859.88
  4. Step 4: Simplify right side
    290,376x = 49,176,390,368.45
  5. Step 5: Solve for x
    x = 49,176,390,368.45/290,376
  6. Step 6: Final answer
    x = 169,354.18

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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.