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Finding the Fourth Proportional to 287,101.47, 430,362.72 and 180,561.57

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Solution

The fourth proportional to 287,101.47, 430,362.72 and 180,561.57 is: 270,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,101.47 : 430,362.72 = 180,561.57 : x
  2. Step 2: Convert to fraction form
    287,101.47/430,362.72 = 180,561.57/x
  3. Step 3: Cross multiply
    287,101.47x = 430,362.72 × 180,561.57
  4. Step 4: Simplify right side
    287,101.47x = 77,706,966,778.81
  5. Step 5: Solve for x
    x = 77,706,966,778.81/287,101.47
  6. Step 6: Final answer
    x = 270,660.29

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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.