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Finding the Fourth Proportional to 278,058.80, 417,088.20 and 172,823.60

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Solution

The fourth proportional to 278,058.80, 417,088.20 and 172,823.60 is: 259,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,058.80 : 417,088.20 = 172,823.60 : x
  2. Step 2: Convert to fraction form
    278,058.80/417,088.20 = 172,823.60/x
  3. Step 3: Cross multiply
    278,058.80x = 417,088.20 × 172,823.60
  4. Step 4: Simplify right side
    278,058.80x = 72,082,684,241.52
  5. Step 5: Solve for x
    x = 72,082,684,241.52/278,058.80
  6. Step 6: Final answer
    x = 259,235.40

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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.