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Finding the Fourth Proportional to 218,323.53, 301,186.94 and 157,798.31

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Solution

The fourth proportional to 218,323.53, 301,186.94 and 157,798.31 is: 217,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,323.53 : 301,186.94 = 157,798.31 : x
  2. Step 2: Convert to fraction form
    218,323.53/301,186.94 = 157,798.31/x
  3. Step 3: Cross multiply
    218,323.53x = 301,186.94 × 157,798.31
  4. Step 4: Simplify right side
    218,323.53x = 47,526,787,831.15
  5. Step 5: Solve for x
    x = 47,526,787,831.15/218,323.53
  6. Step 6: Final answer
    x = 217,689.72

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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.