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Finding the Fourth Proportional to 767,637, 1,059,339.06 and 428,097.96

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Solution

The fourth proportional to 767,637, 1,059,339.06 and 428,097.96 is: 590,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,637 : 1,059,339.06 = 428,097.96 : x
  2. Step 2: Convert to fraction form
    767,637/1,059,339.06 = 428,097.96/x
  3. Step 3: Cross multiply
    767,637x = 1,059,339.06 × 428,097.96
  4. Step 4: Simplify right side
    767,637x = 453,500,890,534.32
  5. Step 5: Solve for x
    x = 453,500,890,534.32/767,637
  6. Step 6: Final answer
    x = 590,775.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.