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Finding the Fourth Proportional to 291,831.84, 402,728.22 and 157,695.84

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Solution

The fourth proportional to 291,831.84, 402,728.22 and 157,695.84 is: 217,620.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,831.84 : 402,728.22 = 157,695.84 : x
  2. Step 2: Convert to fraction form
    291,831.84/402,728.22 = 157,695.84/x
  3. Step 3: Cross multiply
    291,831.84x = 402,728.22 × 157,695.84
  4. Step 4: Simplify right side
    291,831.84x = 63,508,564,944.60
  5. Step 5: Solve for x
    x = 63,508,564,944.60/291,831.84
  6. Step 6: Final answer
    x = 217,620.41

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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.