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Finding the Fourth Proportional to 314,970.90, 472,456.35 and 188,999.70

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Solution

The fourth proportional to 314,970.90, 472,456.35 and 188,999.70 is: 283,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,970.90 : 472,456.35 = 188,999.70 : x
  2. Step 2: Convert to fraction form
    314,970.90/472,456.35 = 188,999.70/x
  3. Step 3: Cross multiply
    314,970.90x = 472,456.35 × 188,999.70
  4. Step 4: Simplify right side
    314,970.90x = 89,294,108,413.10
  5. Step 5: Solve for x
    x = 89,294,108,413.10/314,970.90
  6. Step 6: Final answer
    x = 283,499.55

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1.5x scale

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.