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Finding the Fourth Proportional to 786,290, 1,085,080.68 and 428,594

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Solution

The fourth proportional to 786,290, 1,085,080.68 and 428,594 is: 591,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,290 : 1,085,080.68 = 428,594 : x
  2. Step 2: Convert to fraction form
    786,290/1,085,080.68 = 428,594/x
  3. Step 3: Cross multiply
    786,290x = 1,085,080.68 × 428,594
  4. Step 4: Simplify right side
    786,290x = 465,059,068,963.92
  5. Step 5: Solve for x
    x = 465,059,068,963.92/786,290
  6. Step 6: Final answer
    x = 591,459.98

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