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Finding the Fourth Proportional to 258,931.16, 388,001.10 and 174,378.68

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Solution

The fourth proportional to 258,931.16, 388,001.10 and 174,378.68 is: 261,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,931.16 : 388,001.10 = 174,378.68 : x
  2. Step 2: Convert to fraction form
    258,931.16/388,001.10 = 174,378.68/x
  3. Step 3: Cross multiply
    258,931.16x = 388,001.10 × 174,378.68
  4. Step 4: Simplify right side
    258,931.16x = 67,659,119,656.55
  5. Step 5: Solve for x
    x = 67,659,119,656.55/258,931.16
  6. Step 6: Final answer
    x = 261,301.57

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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.