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Finding the Fourth Proportional to 302,002.60, 453,002.10 and 77,362.60

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Solution

The fourth proportional to 302,002.60, 453,002.10 and 77,362.60 is: 116,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,002.60 : 453,002.10 = 77,362.60 : x
  2. Step 2: Convert to fraction form
    302,002.60/453,002.10 = 77,362.60/x
  3. Step 3: Cross multiply
    302,002.60x = 453,002.10 × 77,362.60
  4. Step 4: Simplify right side
    302,002.60x = 35,045,420,261.46
  5. Step 5: Solve for x
    x = 35,045,420,261.46/302,002.60
  6. Step 6: Final answer
    x = 116,043.44

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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.