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Finding the Fourth Proportional to 657,413.52, 907,164.20 and 381,675.92

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Solution

The fourth proportional to 657,413.52, 907,164.20 and 381,675.92 is: 526,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,413.52 : 907,164.20 = 381,675.92 : x
  2. Step 2: Convert to fraction form
    657,413.52/907,164.20 = 381,675.92/x
  3. Step 3: Cross multiply
    657,413.52x = 907,164.20 × 381,675.92
  4. Step 4: Simplify right side
    657,413.52x = 346,242,730,626.06
  5. Step 5: Solve for x
    x = 346,242,730,626.06/657,413.52
  6. Step 6: Final answer
    x = 526,674.19

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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.