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Finding the Fourth Proportional to 359,312.34, 538,377.39 and 284,910.42

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Solution

The fourth proportional to 359,312.34, 538,377.39 and 284,910.42 is: 426,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,312.34 : 538,377.39 = 284,910.42 : x
  2. Step 2: Convert to fraction form
    359,312.34/538,377.39 = 284,910.42/x
  3. Step 3: Cross multiply
    359,312.34x = 538,377.39 × 284,910.42
  4. Step 4: Simplify right side
    359,312.34x = 153,389,328,303.40
  5. Step 5: Solve for x
    x = 153,389,328,303.40/359,312.34
  6. Step 6: Final answer
    x = 426,896.91

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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.