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Finding the Fourth Proportional to 456,801.12, 684,932.76 and 213,373.44

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Solution

The fourth proportional to 456,801.12, 684,932.76 and 213,373.44 is: 319,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,801.12 : 684,932.76 = 213,373.44 : x
  2. Step 2: Convert to fraction form
    456,801.12/684,932.76 = 213,373.44/x
  3. Step 3: Cross multiply
    456,801.12x = 684,932.76 × 213,373.44
  4. Step 4: Simplify right side
    456,801.12x = 146,146,459,169.89
  5. Step 5: Solve for x
    x = 146,146,459,169.89/456,801.12
  6. Step 6: Final answer
    x = 319,934.55

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1.5x scale

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.