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Finding the Fourth Proportional to 284,410.69, 426,641.55 and 74,050.45

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Solution

The fourth proportional to 284,410.69, 426,641.55 and 74,050.45 is: 111,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,410.69 : 426,641.55 = 74,050.45 : x
  2. Step 2: Convert to fraction form
    284,410.69/426,641.55 = 74,050.45/x
  3. Step 3: Cross multiply
    284,410.69x = 426,641.55 × 74,050.45
  4. Step 4: Simplify right side
    284,410.69x = 31,592,996,262.74
  5. Step 5: Solve for x
    x = 31,592,996,262.74/284,410.69
  6. Step 6: Final answer
    x = 111,082.31

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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.