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Finding the Fourth Proportional to 280,004.74, 419,875.75 and 102,387.55

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Solution

The fourth proportional to 280,004.74, 419,875.75 and 102,387.55 is: 153,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,004.74 : 419,875.75 = 102,387.55 : x
  2. Step 2: Convert to fraction form
    280,004.74/419,875.75 = 102,387.55/x
  3. Step 3: Cross multiply
    280,004.74x = 419,875.75 × 102,387.55
  4. Step 4: Simplify right side
    280,004.74x = 42,990,049,346.91
  5. Step 5: Solve for x
    x = 42,990,049,346.91/280,004.74
  6. Step 6: Final answer
    x = 153,533.29

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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.