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Finding the Fourth Proportional to 290,070, 400,296.72 and 176,916.24

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Solution

The fourth proportional to 290,070, 400,296.72 and 176,916.24 is: 244,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,070 : 400,296.72 = 176,916.24 : x
  2. Step 2: Convert to fraction form
    290,070/400,296.72 = 176,916.24/x
  3. Step 3: Cross multiply
    290,070x = 400,296.72 × 176,916.24
  4. Step 4: Simplify right side
    290,070x = 70,818,990,586.73
  5. Step 5: Solve for x
    x = 70,818,990,586.73/290,070
  6. Step 6: Final answer
    x = 244,144.48

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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.