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Finding the Fourth Proportional to 702,396, 969,306.45 and 380,106.06

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Solution

The fourth proportional to 702,396, 969,306.45 and 380,106.06 is: 524,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,396 : 969,306.45 = 380,106.06 : x
  2. Step 2: Convert to fraction form
    702,396/969,306.45 = 380,106.06/x
  3. Step 3: Cross multiply
    702,396x = 969,306.45 × 380,106.06
  4. Step 4: Simplify right side
    702,396x = 368,439,255,642.09
  5. Step 5: Solve for x
    x = 368,439,255,642.09/702,396
  6. Step 6: Final answer
    x = 524,546.35

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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.