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Finding the Fourth Proportional to 666,779.40, 1,000,298.70 and 193,480.20

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Solution

The fourth proportional to 666,779.40, 1,000,298.70 and 193,480.20 is: 290,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,779.40 : 1,000,298.70 = 193,480.20 : x
  2. Step 2: Convert to fraction form
    666,779.40/1,000,298.70 = 193,480.20/x
  3. Step 3: Cross multiply
    666,779.40x = 1,000,298.70 × 193,480.20
  4. Step 4: Simplify right side
    666,779.40x = 193,537,992,535.74
  5. Step 5: Solve for x
    x = 193,537,992,535.74/666,779.40
  6. Step 6: Final answer
    x = 290,257.91

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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.