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Finding the Fourth Proportional to 292,299.84, 438,421.14 and 198,135

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Solution

The fourth proportional to 292,299.84, 438,421.14 and 198,135 is: 297,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,299.84 : 438,421.14 = 198,135 : x
  2. Step 2: Convert to fraction form
    292,299.84/438,421.14 = 198,135/x
  3. Step 3: Cross multiply
    292,299.84x = 438,421.14 × 198,135
  4. Step 4: Simplify right side
    292,299.84x = 86,866,572,573.90
  5. Step 5: Solve for x
    x = 86,866,572,573.90/292,299.84
  6. Step 6: Final answer
    x = 297,183.10

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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.