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Finding the Fourth Proportional to 709,084.32, 978,214.61 and 418,498.75

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Solution

The fourth proportional to 709,084.32, 978,214.61 and 418,498.75 is: 577,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,084.32 : 978,214.61 = 418,498.75 : x
  2. Step 2: Convert to fraction form
    709,084.32/978,214.61 = 418,498.75/x
  3. Step 3: Cross multiply
    709,084.32x = 978,214.61 × 418,498.75
  4. Step 4: Simplify right side
    709,084.32x = 409,381,584,533.17
  5. Step 5: Solve for x
    x = 409,381,584,533.17/709,084.32
  6. Step 6: Final answer
    x = 577,338.37

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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.