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Finding the Fourth Proportional to 408,459.84, 612,129.24 and 258,431.55

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Solution

The fourth proportional to 408,459.84, 612,129.24 and 258,431.55 is: 387,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,459.84 : 612,129.24 = 258,431.55 : x
  2. Step 2: Convert to fraction form
    408,459.84/612,129.24 = 258,431.55/x
  3. Step 3: Cross multiply
    408,459.84x = 612,129.24 × 258,431.55
  4. Step 4: Simplify right side
    408,459.84x = 158,193,509,852.42
  5. Step 5: Solve for x
    x = 158,193,509,852.42/408,459.84
  6. Step 6: Final answer
    x = 387,292.69

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1.5x scale

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.