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Finding the Fourth Proportional to 709,122.06, 978,559.48 and 418,827.58

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Solution

The fourth proportional to 709,122.06, 978,559.48 and 418,827.58 is: 577,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,122.06 : 978,559.48 = 418,827.58 : x
  2. Step 2: Convert to fraction form
    709,122.06/978,559.48 = 418,827.58/x
  3. Step 3: Cross multiply
    709,122.06x = 978,559.48 × 418,827.58
  4. Step 4: Simplify right side
    709,122.06x = 409,847,696,971.59
  5. Step 5: Solve for x
    x = 409,847,696,971.59/709,122.06
  6. Step 6: Final answer
    x = 577,964.95

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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.