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Finding the Fourth Proportional to 428,779.90, 647,060.83 and 414,486.91

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Solution

The fourth proportional to 428,779.90, 647,060.83 and 414,486.91 is: 625,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,779.90 : 647,060.83 = 414,486.91 : x
  2. Step 2: Convert to fraction form
    428,779.90/647,060.83 = 414,486.91/x
  3. Step 3: Cross multiply
    428,779.90x = 647,060.83 × 414,486.91
  4. Step 4: Simplify right side
    428,779.90x = 268,198,244,008.74
  5. Step 5: Solve for x
    x = 268,198,244,008.74/428,779.90
  6. Step 6: Final answer
    x = 625,491.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.