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Finding the Fourth Proportional to 296,407.07, 409,042.81 and 160,442.65

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Solution

The fourth proportional to 296,407.07, 409,042.81 and 160,442.65 is: 221,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,407.07 : 409,042.81 = 160,442.65 : x
  2. Step 2: Convert to fraction form
    296,407.07/409,042.81 = 160,442.65/x
  3. Step 3: Cross multiply
    296,407.07x = 409,042.81 × 160,442.65
  4. Step 4: Simplify right side
    296,407.07x = 65,627,911,961.27
  5. Step 5: Solve for x
    x = 65,627,911,961.27/296,407.07
  6. Step 6: Final answer
    x = 221,411.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.