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Finding the Fourth Proportional to 284,296, 426,484.32 and 104,358.40

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Solution

The fourth proportional to 284,296, 426,484.32 and 104,358.40 is: 156,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,296 : 426,484.32 = 104,358.40 : x
  2. Step 2: Convert to fraction form
    284,296/426,484.32 = 104,358.40/x
  3. Step 3: Cross multiply
    284,296x = 426,484.32 × 104,358.40
  4. Step 4: Simplify right side
    284,296x = 44,507,221,260.29
  5. Step 5: Solve for x
    x = 44,507,221,260.29/284,296
  6. Step 6: Final answer
    x = 156,552.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.