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Finding the Fourth Proportional to 287,348.48, 431,029.76 and 97,808.48

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Solution

The fourth proportional to 287,348.48, 431,029.76 and 97,808.48 is: 146,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,348.48 : 431,029.76 = 97,808.48 : x
  2. Step 2: Convert to fraction form
    287,348.48/431,029.76 = 97,808.48/x
  3. Step 3: Cross multiply
    287,348.48x = 431,029.76 × 97,808.48
  4. Step 4: Simplify right side
    287,348.48x = 42,158,365,660.36
  5. Step 5: Solve for x
    x = 42,158,365,660.36/287,348.48
  6. Step 6: Final answer
    x = 146,715.12

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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.