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Finding the Fourth Proportional to 436,437.80, 653,274.30 and 312,021.80

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Solution

The fourth proportional to 436,437.80, 653,274.30 and 312,021.80 is: 467,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,437.80 : 653,274.30 = 312,021.80 : x
  2. Step 2: Convert to fraction form
    436,437.80/653,274.30 = 312,021.80/x
  3. Step 3: Cross multiply
    436,437.80x = 653,274.30 × 312,021.80
  4. Step 4: Simplify right side
    436,437.80x = 203,835,822,979.74
  5. Step 5: Solve for x
    x = 203,835,822,979.74/436,437.80
  6. Step 6: Final answer
    x = 467,044.38

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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.