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Finding the Fourth Proportional to 315,140.85, 472,317.08 and 157,413.33

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Solution

The fourth proportional to 315,140.85, 472,317.08 and 157,413.33 is: 235,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,140.85 : 472,317.08 = 157,413.33 : x
  2. Step 2: Convert to fraction form
    315,140.85/472,317.08 = 157,413.33/x
  3. Step 3: Cross multiply
    315,140.85x = 472,317.08 × 157,413.33
  4. Step 4: Simplify right side
    315,140.85x = 74,349,003,591.61
  5. Step 5: Solve for x
    x = 74,349,003,591.61/315,140.85
  6. Step 6: Final answer
    x = 235,923.09

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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.