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Finding the Fourth Proportional to 287,772.65, 431,289.56 and 137,788.19

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Solution

The fourth proportional to 287,772.65, 431,289.56 and 137,788.19 is: 206,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,772.65 : 431,289.56 = 137,788.19 : x
  2. Step 2: Convert to fraction form
    287,772.65/431,289.56 = 137,788.19/x
  3. Step 3: Cross multiply
    287,772.65x = 431,289.56 × 137,788.19
  4. Step 4: Simplify right side
    287,772.65x = 59,426,607,643.65
  5. Step 5: Solve for x
    x = 59,426,607,643.65/287,772.65
  6. Step 6: Final answer
    x = 206,505.41

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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.