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Finding the Fourth Proportional to 302,661, 453,823.74 and 140,378.04

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Solution

The fourth proportional to 302,661, 453,823.74 and 140,378.04 is: 210,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,661 : 453,823.74 = 140,378.04 : x
  2. Step 2: Convert to fraction form
    302,661/453,823.74 = 140,378.04/x
  3. Step 3: Cross multiply
    302,661x = 453,823.74 × 140,378.04
  4. Step 4: Simplify right side
    302,661x = 63,706,887,126.67
  5. Step 5: Solve for x
    x = 63,706,887,126.67/302,661
  6. Step 6: Final answer
    x = 210,489.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.