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Finding the Fourth Proportional to 296,756.40, 409,665.74 and 169,407.39

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Solution

The fourth proportional to 296,756.40, 409,665.74 and 169,407.39 is: 233,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,756.40 : 409,665.74 = 169,407.39 : x
  2. Step 2: Convert to fraction form
    296,756.40/409,665.74 = 169,407.39/x
  3. Step 3: Cross multiply
    296,756.40x = 409,665.74 × 169,407.39
  4. Step 4: Simplify right side
    296,756.40x = 69,400,402,938.78
  5. Step 5: Solve for x
    x = 69,400,402,938.78/296,756.40
  6. Step 6: Final answer
    x = 233,863.21

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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.