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Finding the Fourth Proportional to 312,171, 430,795.98 and 168,931.04

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Solution

The fourth proportional to 312,171, 430,795.98 and 168,931.04 is: 233,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,171 : 430,795.98 = 168,931.04 : x
  2. Step 2: Convert to fraction form
    312,171/430,795.98 = 168,931.04/x
  3. Step 3: Cross multiply
    312,171x = 430,795.98 × 168,931.04
  4. Step 4: Simplify right side
    312,171x = 72,774,814,006.21
  5. Step 5: Solve for x
    x = 72,774,814,006.21/312,171
  6. Step 6: Final answer
    x = 233,124.84

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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.