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Finding the Fourth Proportional to 320,140.40, 480,511.92 and 162,482

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Solution

The fourth proportional to 320,140.40, 480,511.92 and 162,482 is: 243,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,140.40 : 480,511.92 = 162,482 : x
  2. Step 2: Convert to fraction form
    320,140.40/480,511.92 = 162,482/x
  3. Step 3: Cross multiply
    320,140.40x = 480,511.92 × 162,482
  4. Step 4: Simplify right side
    320,140.40x = 78,074,537,785.44
  5. Step 5: Solve for x
    x = 78,074,537,785.44/320,140.40
  6. Step 6: Final answer
    x = 243,875.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.