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Finding the Fourth Proportional to 280,002.60, 419,966.10 and 111,646.80

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Solution

The fourth proportional to 280,002.60, 419,966.10 and 111,646.80 is: 167,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,002.60 : 419,966.10 = 111,646.80 : x
  2. Step 2: Convert to fraction form
    280,002.60/419,966.10 = 111,646.80/x
  3. Step 3: Cross multiply
    280,002.60x = 419,966.10 × 111,646.80
  4. Step 4: Simplify right side
    280,002.60x = 46,887,871,173.48
  5. Step 5: Solve for x
    x = 46,887,871,173.48/280,002.60
  6. Step 6: Final answer
    x = 167,455.13

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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.