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Finding the Fourth Proportional to 272,257.20, 407,413.80 and 172,465.20

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Solution

The fourth proportional to 272,257.20, 407,413.80 and 172,465.20 is: 258,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,257.20 : 407,413.80 = 172,465.20 : x
  2. Step 2: Convert to fraction form
    272,257.20/407,413.80 = 172,465.20/x
  3. Step 3: Cross multiply
    272,257.20x = 407,413.80 × 172,465.20
  4. Step 4: Simplify right side
    272,257.20x = 70,264,702,499.76
  5. Step 5: Solve for x
    x = 70,264,702,499.76/272,257.20
  6. Step 6: Final answer
    x = 258,082.07

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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.