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Finding the Fourth Proportional to 296,386, 409,012.68 and 162,250

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Solution

The fourth proportional to 296,386, 409,012.68 and 162,250 is: 223,905

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,386 : 409,012.68 = 162,250 : x
  2. Step 2: Convert to fraction form
    296,386/409,012.68 = 162,250/x
  3. Step 3: Cross multiply
    296,386x = 409,012.68 × 162,250
  4. Step 4: Simplify right side
    296,386x = 66,362,307,330
  5. Step 5: Solve for x
    x = 66,362,307,330/296,386
  6. Step 6: Final answer
    x = 223,905

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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.