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Finding the Fourth Proportional to 507,873.71, 700,850.53 and 278,423.14

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Solution

The fourth proportional to 507,873.71, 700,850.53 and 278,423.14 is: 384,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,873.71 : 700,850.53 = 278,423.14 : x
  2. Step 2: Convert to fraction form
    507,873.71/700,850.53 = 278,423.14/x
  3. Step 3: Cross multiply
    507,873.71x = 700,850.53 × 278,423.14
  4. Step 4: Simplify right side
    507,873.71x = 195,133,005,233.26
  5. Step 5: Solve for x
    x = 195,133,005,233.26/507,873.71
  6. Step 6: Final answer
    x = 384,215.61

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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.