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Finding the Fourth Proportional to 284,090.66, 425,730 and 208,618.82

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Solution

The fourth proportional to 284,090.66, 425,730 and 208,618.82 is: 312,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,090.66 : 425,730 = 208,618.82 : x
  2. Step 2: Convert to fraction form
    284,090.66/425,730 = 208,618.82/x
  3. Step 3: Cross multiply
    284,090.66x = 425,730 × 208,618.82
  4. Step 4: Simplify right side
    284,090.66x = 88,815,290,238.60
  5. Step 5: Solve for x
    x = 88,815,290,238.60/284,090.66
  6. Step 6: Final answer
    x = 312,630.10

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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.