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Finding the Fourth Proportional to 287,357.80, 431,036.70 and 109,870.60

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Solution

The fourth proportional to 287,357.80, 431,036.70 and 109,870.60 is: 164,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,357.80 : 431,036.70 = 109,870.60 : x
  2. Step 2: Convert to fraction form
    287,357.80/431,036.70 = 109,870.60/x
  3. Step 3: Cross multiply
    287,357.80x = 431,036.70 × 109,870.60
  4. Step 4: Simplify right side
    287,357.80x = 47,358,260,851.02
  5. Step 5: Solve for x
    x = 47,358,260,851.02/287,357.80
  6. Step 6: Final answer
    x = 164,805.90

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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.