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Finding the Fourth Proportional to 418,413.95, 577,689.31 and 321,445.11

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Solution

The fourth proportional to 418,413.95, 577,689.31 and 321,445.11 is: 443,807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,413.95 : 577,689.31 = 321,445.11 : x
  2. Step 2: Convert to fraction form
    418,413.95/577,689.31 = 321,445.11/x
  3. Step 3: Cross multiply
    418,413.95x = 577,689.31 × 321,445.11
  4. Step 4: Simplify right side
    418,413.95x = 185,695,400,106.72
  5. Step 5: Solve for x
    x = 185,695,400,106.72/418,413.95
  6. Step 6: Final answer
    x = 443,807.86

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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.