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Finding the Fourth Proportional to 407,643, 610,798.59 and 247,767.84

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Solution

The fourth proportional to 407,643, 610,798.59 and 247,767.84 is: 371,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,643 : 610,798.59 = 247,767.84 : x
  2. Step 2: Convert to fraction form
    407,643/610,798.59 = 247,767.84/x
  3. Step 3: Cross multiply
    407,643x = 610,798.59 × 247,767.84
  4. Step 4: Simplify right side
    407,643x = 151,336,247,319.35
  5. Step 5: Solve for x
    x = 151,336,247,319.35/407,643
  6. Step 6: Final answer
    x = 371,247.02

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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.