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Finding the Fourth Proportional to 507,842.59, 700,872.89 and 290,083.80

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Solution

The fourth proportional to 507,842.59, 700,872.89 and 290,083.80 is: 400,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,842.59 : 700,872.89 = 290,083.80 : x
  2. Step 2: Convert to fraction form
    507,842.59/700,872.89 = 290,083.80/x
  3. Step 3: Cross multiply
    507,842.59x = 700,872.89 × 290,083.80
  4. Step 4: Simplify right side
    507,842.59x = 203,311,871,248.18
  5. Step 5: Solve for x
    x = 203,311,871,248.18/507,842.59
  6. Step 6: Final answer
    x = 400,344.27

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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.