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Finding the Fourth Proportional to 302,690, 454,040.46 and 78,055.13

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Solution

The fourth proportional to 302,690, 454,040.46 and 78,055.13 is: 117,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,690 : 454,040.46 = 78,055.13 : x
  2. Step 2: Convert to fraction form
    302,690/454,040.46 = 78,055.13/x
  3. Step 3: Cross multiply
    302,690x = 454,040.46 × 78,055.13
  4. Step 4: Simplify right side
    302,690x = 35,440,187,130.56
  5. Step 5: Solve for x
    x = 35,440,187,130.56/302,690
  6. Step 6: Final answer
    x = 117,084.10

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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.