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Finding the Fourth Proportional to 497,431.80, 744,981.30 and 338,801.40

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Solution

The fourth proportional to 497,431.80, 744,981.30 and 338,801.40 is: 507,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,431.80 : 744,981.30 = 338,801.40 : x
  2. Step 2: Convert to fraction form
    497,431.80/744,981.30 = 338,801.40/x
  3. Step 3: Cross multiply
    497,431.80x = 744,981.30 × 338,801.40
  4. Step 4: Simplify right side
    497,431.80x = 252,400,707,413.82
  5. Step 5: Solve for x
    x = 252,400,707,413.82/497,431.80
  6. Step 6: Final answer
    x = 507,407.66

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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.