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Finding the Fourth Proportional to 312,171.13, 430,796.16 and 168,931.17

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Solution

The fourth proportional to 312,171.13, 430,796.16 and 168,931.17 is: 233,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,171.13 : 430,796.16 = 168,931.17 : x
  2. Step 2: Convert to fraction form
    312,171.13/430,796.16 = 168,931.17/x
  3. Step 3: Cross multiply
    312,171.13x = 430,796.16 × 168,931.17
  4. Step 4: Simplify right side
    312,171.13x = 72,774,898,495.65
  5. Step 5: Solve for x
    x = 72,774,898,495.65/312,171.13
  6. Step 6: Final answer
    x = 233,125.01

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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.