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Finding the Fourth Proportional to 840,598.66, 1,159,978.62 and 478,110.70

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Solution

The fourth proportional to 840,598.66, 1,159,978.62 and 478,110.70 is: 659,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,598.66 : 1,159,978.62 = 478,110.70 : x
  2. Step 2: Convert to fraction form
    840,598.66/1,159,978.62 = 478,110.70/x
  3. Step 3: Cross multiply
    840,598.66x = 1,159,978.62 × 478,110.70
  4. Step 4: Simplify right side
    840,598.66x = 554,598,189,993.23
  5. Step 5: Solve for x
    x = 554,598,189,993.23/840,598.66
  6. Step 6: Final answer
    x = 659,765.73

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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.