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Finding the Fourth Proportional to 991,302, 1,486,982.16 and 243,348

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Solution

The fourth proportional to 991,302, 1,486,982.16 and 243,348 is: 365,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,302 : 1,486,982.16 = 243,348 : x
  2. Step 2: Convert to fraction form
    991,302/1,486,982.16 = 243,348/x
  3. Step 3: Cross multiply
    991,302x = 1,486,982.16 × 243,348
  4. Step 4: Simplify right side
    991,302x = 361,854,134,671.68
  5. Step 5: Solve for x
    x = 361,854,134,671.68/991,302
  6. Step 6: Final answer
    x = 365,029.16

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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.