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Finding the Fourth Proportional to 418,729.86, 628,340.76 and 152,506.32

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Solution

The fourth proportional to 418,729.86, 628,340.76 and 152,506.32 is: 228,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,729.86 : 628,340.76 = 152,506.32 : x
  2. Step 2: Convert to fraction form
    418,729.86/628,340.76 = 152,506.32/x
  3. Step 3: Cross multiply
    418,729.86x = 628,340.76 × 152,506.32
  4. Step 4: Simplify right side
    418,729.86x = 95,825,937,013.60
  5. Step 5: Solve for x
    x = 95,825,937,013.60/418,729.86
  6. Step 6: Final answer
    x = 228,849.07

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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.