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Finding the Fourth Proportional to 260,074.80, 390,209.40 and 102,413.16

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Solution

The fourth proportional to 260,074.80, 390,209.40 and 102,413.16 is: 153,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,074.80 : 390,209.40 = 102,413.16 : x
  2. Step 2: Convert to fraction form
    260,074.80/390,209.40 = 102,413.16/x
  3. Step 3: Cross multiply
    260,074.80x = 390,209.40 × 102,413.16
  4. Step 4: Simplify right side
    260,074.80x = 39,962,577,715.70
  5. Step 5: Solve for x
    x = 39,962,577,715.70/260,074.80
  6. Step 6: Final answer
    x = 153,658.02

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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.