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Finding the Fourth Proportional to 286,423.42, 428,981.03 and 136,769.06

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Solution

The fourth proportional to 286,423.42, 428,981.03 and 136,769.06 is: 204,841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,423.42 : 428,981.03 = 136,769.06 : x
  2. Step 2: Convert to fraction form
    286,423.42/428,981.03 = 136,769.06/x
  3. Step 3: Cross multiply
    286,423.42x = 428,981.03 × 136,769.06
  4. Step 4: Simplify right side
    286,423.42x = 58,671,329,915.07
  5. Step 5: Solve for x
    x = 58,671,329,915.07/286,423.42
  6. Step 6: Final answer
    x = 204,841.25

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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.