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Finding the Fourth Proportional to 312,972.66, 469,445.94 and 144,436.98

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Solution

The fourth proportional to 312,972.66, 469,445.94 and 144,436.98 is: 216,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,972.66 : 469,445.94 = 144,436.98 : x
  2. Step 2: Convert to fraction form
    312,972.66/469,445.94 = 144,436.98/x
  3. Step 3: Cross multiply
    312,972.66x = 469,445.94 × 144,436.98
  4. Step 4: Simplify right side
    312,972.66x = 67,805,353,846.86
  5. Step 5: Solve for x
    x = 67,805,353,846.86/312,972.66
  6. Step 6: Final answer
    x = 216,649.45

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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.