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Finding the Fourth Proportional to 215,357.81, 297,454.95 and 157,914.23

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Solution

The fourth proportional to 215,357.81, 297,454.95 and 157,914.23 is: 218,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,357.81 : 297,454.95 = 157,914.23 : x
  2. Step 2: Convert to fraction form
    215,357.81/297,454.95 = 157,914.23/x
  3. Step 3: Cross multiply
    215,357.81x = 297,454.95 × 157,914.23
  4. Step 4: Simplify right side
    215,357.81x = 46,972,367,901.66
  5. Step 5: Solve for x
    x = 46,972,367,901.66/215,357.81
  6. Step 6: Final answer
    x = 218,113.14

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1.5x scale

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.