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Finding the Fourth Proportional to 631,502.14, 870,345.66 and 478,174

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Solution

The fourth proportional to 631,502.14, 870,345.66 and 478,174 is: 659,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,502.14 : 870,345.66 = 478,174 : x
  2. Step 2: Convert to fraction form
    631,502.14/870,345.66 = 478,174/x
  3. Step 3: Cross multiply
    631,502.14x = 870,345.66 × 478,174
  4. Step 4: Simplify right side
    631,502.14x = 416,176,665,624.84
  5. Step 5: Solve for x
    x = 416,176,665,624.84/631,502.14
  6. Step 6: Final answer
    x = 659,026.53

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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.