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Finding the Fourth Proportional to 507,810.45, 700,753.80 and 293,019.87

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Solution

The fourth proportional to 507,810.45, 700,753.80 and 293,019.87 is: 404,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,810.45 : 700,753.80 = 293,019.87 : x
  2. Step 2: Convert to fraction form
    507,810.45/700,753.80 = 293,019.87/x
  3. Step 3: Cross multiply
    507,810.45x = 700,753.80 × 293,019.87
  4. Step 4: Simplify right side
    507,810.45x = 205,334,787,378.01
  5. Step 5: Solve for x
    x = 205,334,787,378.01/507,810.45
  6. Step 6: Final answer
    x = 404,353.21

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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.