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Finding the Fourth Proportional to 198,432.34, 297,689.51 and 65,320.59

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Solution

The fourth proportional to 198,432.34, 297,689.51 and 65,320.59 is: 97,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,432.34 : 297,689.51 = 65,320.59 : x
  2. Step 2: Convert to fraction form
    198,432.34/297,689.51 = 65,320.59/x
  3. Step 3: Cross multiply
    198,432.34x = 297,689.51 × 65,320.59
  4. Step 4: Simplify right side
    198,432.34x = 19,445,254,430.01
  5. Step 5: Solve for x
    x = 19,445,254,430.01/198,432.34
  6. Step 6: Final answer
    x = 97,994.38

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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.