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Finding the Fourth Proportional to 287,903.50, 431,856.47 and 88,208.53

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Solution

The fourth proportional to 287,903.50, 431,856.47 and 88,208.53 is: 132,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,903.50 : 431,856.47 = 88,208.53 : x
  2. Step 2: Convert to fraction form
    287,903.50/431,856.47 = 88,208.53/x
  3. Step 3: Cross multiply
    287,903.50x = 431,856.47 × 88,208.53
  4. Step 4: Simplify right side
    287,903.50x = 38,093,424,389.69
  5. Step 5: Solve for x
    x = 38,093,424,389.69/287,903.50
  6. Step 6: Final answer
    x = 132,313.17

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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.