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Finding the Fourth Proportional to 513,486.16, 708,556.40 and 284,007

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Solution

The fourth proportional to 513,486.16, 708,556.40 and 284,007 is: 391,899.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,486.16 : 708,556.40 = 284,007 : x
  2. Step 2: Convert to fraction form
    513,486.16/708,556.40 = 284,007/x
  3. Step 3: Cross multiply
    513,486.16x = 708,556.40 × 284,007
  4. Step 4: Simplify right side
    513,486.16x = 201,234,977,494.80
  5. Step 5: Solve for x
    x = 201,234,977,494.80/513,486.16
  6. Step 6: Final answer
    x = 391,899.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.