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Finding the Fourth Proportional to 507,327, 700,083.18 and 280,954.68

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Solution

The fourth proportional to 507,327, 700,083.18 and 280,954.68 is: 387,701.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,327 : 700,083.18 = 280,954.68 : x
  2. Step 2: Convert to fraction form
    507,327/700,083.18 = 280,954.68/x
  3. Step 3: Cross multiply
    507,327x = 700,083.18 × 280,954.68
  4. Step 4: Simplify right side
    507,327x = 196,691,645,810.28
  5. Step 5: Solve for x
    x = 196,691,645,810.28/507,327
  6. Step 6: Final answer
    x = 387,701.91

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1.5x scale

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.