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Finding the Fourth Proportional to 302,428.60, 453,642.90 and 144,964.60

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Solution

The fourth proportional to 302,428.60, 453,642.90 and 144,964.60 is: 217,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,428.60 : 453,642.90 = 144,964.60 : x
  2. Step 2: Convert to fraction form
    302,428.60/453,642.90 = 144,964.60/x
  3. Step 3: Cross multiply
    302,428.60x = 453,642.90 × 144,964.60
  4. Step 4: Simplify right side
    302,428.60x = 65,762,161,541.34
  5. Step 5: Solve for x
    x = 65,762,161,541.34/302,428.60
  6. Step 6: Final answer
    x = 217,446.90

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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.