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Finding the Fourth Proportional to 784,117, 1,082,081.46 and 426,421

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Solution

The fourth proportional to 784,117, 1,082,081.46 and 426,421 is: 588,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,117 : 1,082,081.46 = 426,421 : x
  2. Step 2: Convert to fraction form
    784,117/1,082,081.46 = 426,421/x
  3. Step 3: Cross multiply
    784,117x = 1,082,081.46 × 426,421
  4. Step 4: Simplify right side
    784,117x = 461,422,258,254.66
  5. Step 5: Solve for x
    x = 461,422,258,254.66/784,117
  6. Step 6: Final answer
    x = 588,460.98

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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.