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Finding the Fourth Proportional to 287,564.96, 431,399.40 and 98,014.88

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Solution

The fourth proportional to 287,564.96, 431,399.40 and 98,014.88 is: 147,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,564.96 : 431,399.40 = 98,014.88 : x
  2. Step 2: Convert to fraction form
    287,564.96/431,399.40 = 98,014.88/x
  3. Step 3: Cross multiply
    287,564.96x = 431,399.40 × 98,014.88
  4. Step 4: Simplify right side
    287,564.96x = 42,283,560,423.07
  5. Step 5: Solve for x
    x = 42,283,560,423.07/287,564.96
  6. Step 6: Final answer
    x = 147,040.03

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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.