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Finding the Fourth Proportional to 291,907.34, 402,831.92 and 157,771.34

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Solution

The fourth proportional to 291,907.34, 402,831.92 and 157,771.34 is: 217,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,907.34 : 402,831.92 = 157,771.34 : x
  2. Step 2: Convert to fraction form
    291,907.34/402,831.92 = 157,771.34/x
  3. Step 3: Cross multiply
    291,907.34x = 402,831.92 × 157,771.34
  4. Step 4: Simplify right side
    291,907.34x = 63,555,331,813.17
  5. Step 5: Solve for x
    x = 63,555,331,813.17/291,907.34
  6. Step 6: Final answer
    x = 217,724.34

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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.