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Finding the Fourth Proportional to 312,063.76, 430,647.40 and 168,823.92

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Solution

The fourth proportional to 312,063.76, 430,647.40 and 168,823.92 is: 232,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,063.76 : 430,647.40 = 168,823.92 : x
  2. Step 2: Convert to fraction form
    312,063.76/430,647.40 = 168,823.92/x
  3. Step 3: Cross multiply
    312,063.76x = 430,647.40 × 168,823.92
  4. Step 4: Simplify right side
    312,063.76x = 72,703,582,205.81
  5. Step 5: Solve for x
    x = 72,703,582,205.81/312,063.76
  6. Step 6: Final answer
    x = 232,976.69

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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.