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Finding the Fourth Proportional to 507,841.84, 700,871.85 and 290,083.05

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Solution

The fourth proportional to 507,841.84, 700,871.85 and 290,083.05 is: 400,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,841.84 : 700,871.85 = 290,083.05 : x
  2. Step 2: Convert to fraction form
    507,841.84/700,871.85 = 290,083.05/x
  3. Step 3: Cross multiply
    507,841.84x = 700,871.85 × 290,083.05
  4. Step 4: Simplify right side
    507,841.84x = 203,311,040,402.78
  5. Step 5: Solve for x
    x = 203,311,040,402.78/507,841.84
  6. Step 6: Final answer
    x = 400,343.23

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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.