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Finding the Fourth Proportional to 312,195.90, 430,830.34 and 168,955.91

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Solution

The fourth proportional to 312,195.90, 430,830.34 and 168,955.91 is: 233,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,195.90 : 430,830.34 = 168,955.91 : x
  2. Step 2: Convert to fraction form
    312,195.90/430,830.34 = 168,955.91/x
  3. Step 3: Cross multiply
    312,195.90x = 430,830.34 × 168,955.91
  4. Step 4: Simplify right side
    312,195.90x = 72,791,332,150.31
  5. Step 5: Solve for x
    x = 72,791,332,150.31/312,195.90
  6. Step 6: Final answer
    x = 233,159.15

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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.