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Finding the Fourth Proportional to 296,316, 408,916.08 and 162,180

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Solution

The fourth proportional to 296,316, 408,916.08 and 162,180 is: 223,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,316 : 408,916.08 = 162,180 : x
  2. Step 2: Convert to fraction form
    296,316/408,916.08 = 162,180/x
  3. Step 3: Cross multiply
    296,316x = 408,916.08 × 162,180
  4. Step 4: Simplify right side
    296,316x = 66,318,009,854.40
  5. Step 5: Solve for x
    x = 66,318,009,854.40/296,316
  6. Step 6: Final answer
    x = 223,808.40

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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.