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Finding the Fourth Proportional to 284,345.82, 428,206.14 and 253,202.94

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Solution

The fourth proportional to 284,345.82, 428,206.14 and 253,202.94 is: 381,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,345.82 : 428,206.14 = 253,202.94 : x
  2. Step 2: Convert to fraction form
    284,345.82/428,206.14 = 253,202.94/x
  3. Step 3: Cross multiply
    284,345.82x = 428,206.14 × 253,202.94
  4. Step 4: Simplify right side
    284,345.82x = 108,423,053,574.05
  5. Step 5: Solve for x
    x = 108,423,053,574.05/284,345.82
  6. Step 6: Final answer
    x = 381,307.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.