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Finding the Fourth Proportional to 261,316.10, 390,982.84 and 154,757.10

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Solution

The fourth proportional to 261,316.10, 390,982.84 and 154,757.10 is: 231,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,316.10 : 390,982.84 = 154,757.10 : x
  2. Step 2: Convert to fraction form
    261,316.10/390,982.84 = 154,757.10/x
  3. Step 3: Cross multiply
    261,316.10x = 390,982.84 × 154,757.10
  4. Step 4: Simplify right side
    261,316.10x = 60,507,370,468.16
  5. Step 5: Solve for x
    x = 60,507,370,468.16/261,316.10
  6. Step 6: Final answer
    x = 231,548.57

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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.