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Finding the Fourth Proportional to 287,812.40, 431,718.60 and 182,836.40

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Solution

The fourth proportional to 287,812.40, 431,718.60 and 182,836.40 is: 274,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,812.40 : 431,718.60 = 182,836.40 : x
  2. Step 2: Convert to fraction form
    287,812.40/431,718.60 = 182,836.40/x
  3. Step 3: Cross multiply
    287,812.40x = 431,718.60 × 182,836.40
  4. Step 4: Simplify right side
    287,812.40x = 78,933,874,637.04
  5. Step 5: Solve for x
    x = 78,933,874,637.04/287,812.40
  6. Step 6: Final answer
    x = 274,254.60

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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.