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Finding the Fourth Proportional to 417,911.40, 626,967.90 and 137,413.80

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Solution

The fourth proportional to 417,911.40, 626,967.90 and 137,413.80 is: 206,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,911.40 : 626,967.90 = 137,413.80 : x
  2. Step 2: Convert to fraction form
    417,911.40/626,967.90 = 137,413.80/x
  3. Step 3: Cross multiply
    417,911.40x = 626,967.90 × 137,413.80
  4. Step 4: Simplify right side
    417,911.40x = 86,154,041,617.02
  5. Step 5: Solve for x
    x = 86,154,041,617.02/417,911.40
  6. Step 6: Final answer
    x = 206,153.84

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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.