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Finding the Fourth Proportional to 284,215.58, 423,853.02 and 280,402.01

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Solution

The fourth proportional to 284,215.58, 423,853.02 and 280,402.01 is: 418,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,215.58 : 423,853.02 = 280,402.01 : x
  2. Step 2: Convert to fraction form
    284,215.58/423,853.02 = 280,402.01/x
  3. Step 3: Cross multiply
    284,215.58x = 423,853.02 × 280,402.01
  4. Step 4: Simplify right side
    284,215.58x = 118,849,237,350.56
  5. Step 5: Solve for x
    x = 118,849,237,350.56/284,215.58
  6. Step 6: Final answer
    x = 418,165.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.