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Finding the Fourth Proportional to 631,501.14, 870,344.28 and 478,173

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Solution

The fourth proportional to 631,501.14, 870,344.28 and 478,173 is: 659,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,501.14 : 870,344.28 = 478,173 : x
  2. Step 2: Convert to fraction form
    631,501.14/870,344.28 = 478,173/x
  3. Step 3: Cross multiply
    631,501.14x = 870,344.28 × 478,173
  4. Step 4: Simplify right side
    631,501.14x = 416,175,135,400.44
  5. Step 5: Solve for x
    x = 416,175,135,400.44/631,501.14
  6. Step 6: Final answer
    x = 659,025.15

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Why These Related Problems?

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