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Finding the Fourth Proportional to 287,868.93, 431,790.96 and 98,346.21

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Solution

The fourth proportional to 287,868.93, 431,790.96 and 98,346.21 is: 147,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,868.93 : 431,790.96 = 98,346.21 : x
  2. Step 2: Convert to fraction form
    287,868.93/431,790.96 = 98,346.21/x
  3. Step 3: Cross multiply
    287,868.93x = 431,790.96 × 98,346.21
  4. Step 4: Simplify right side
    287,868.93x = 42,465,004,428.26
  5. Step 5: Solve for x
    x = 42,465,004,428.26/287,868.93
  6. Step 6: Final answer
    x = 147,515.07

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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.