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Finding the Fourth Proportional to 785,711, 1,084,281.18 and 428,015

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Solution

The fourth proportional to 785,711, 1,084,281.18 and 428,015 is: 590,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,711 : 1,084,281.18 = 428,015 : x
  2. Step 2: Convert to fraction form
    785,711/1,084,281.18 = 428,015/x
  3. Step 3: Cross multiply
    785,711x = 1,084,281.18 × 428,015
  4. Step 4: Simplify right side
    785,711x = 464,088,609,257.70
  5. Step 5: Solve for x
    x = 464,088,609,257.70/785,711
  6. Step 6: Final answer
    x = 590,660.70

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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.