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Finding the Fourth Proportional to 302,016.59, 453,014.40 and 77,378.89

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Solution

The fourth proportional to 302,016.59, 453,014.40 and 77,378.89 is: 116,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,016.59 : 453,014.40 = 77,378.89 : x
  2. Step 2: Convert to fraction form
    302,016.59/453,014.40 = 77,378.89/x
  3. Step 3: Cross multiply
    302,016.59x = 453,014.40 × 77,378.89
  4. Step 4: Simplify right side
    302,016.59x = 35,053,751,426.02
  5. Step 5: Solve for x
    x = 35,053,751,426.02/302,016.59
  6. Step 6: Final answer
    x = 116,065.65

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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.