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Finding the Fourth Proportional to 286,883.70, 429,807.15 and 253,706.10

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Solution

The fourth proportional to 286,883.70, 429,807.15 and 253,706.10 is: 380,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,883.70 : 429,807.15 = 253,706.10 : x
  2. Step 2: Convert to fraction form
    286,883.70/429,807.15 = 253,706.10/x
  3. Step 3: Cross multiply
    286,883.70x = 429,807.15 × 253,706.10
  4. Step 4: Simplify right side
    286,883.70x = 109,044,695,778.62
  5. Step 5: Solve for x
    x = 109,044,695,778.62/286,883.70
  6. Step 6: Final answer
    x = 380,100.70

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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.