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Finding the Fourth Proportional to 292,423.80, 437,663.70 and 212,233.80

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Solution

The fourth proportional to 292,423.80, 437,663.70 and 212,233.80 is: 317,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,423.80 : 437,663.70 = 212,233.80 : x
  2. Step 2: Convert to fraction form
    292,423.80/437,663.70 = 212,233.80/x
  3. Step 3: Cross multiply
    292,423.80x = 437,663.70 × 212,233.80
  4. Step 4: Simplify right side
    292,423.80x = 92,887,030,173.06
  5. Step 5: Solve for x
    x = 92,887,030,173.06/292,423.80
  6. Step 6: Final answer
    x = 317,645.25

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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.