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Finding the Fourth Proportional to 418,400.79, 577,389.65 and 227,413.59

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Solution

The fourth proportional to 418,400.79, 577,389.65 and 227,413.59 is: 313,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,400.79 : 577,389.65 = 227,413.59 : x
  2. Step 2: Convert to fraction form
    418,400.79/577,389.65 = 227,413.59/x
  3. Step 3: Cross multiply
    418,400.79x = 577,389.65 × 227,413.59
  4. Step 4: Simplify right side
    418,400.79x = 131,306,251,998.28
  5. Step 5: Solve for x
    x = 131,306,251,998.28/418,400.79
  6. Step 6: Final answer
    x = 313,828.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.