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Finding the Fourth Proportional to 507,855.44, 700,838.52 and 278,414

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Solution

The fourth proportional to 507,855.44, 700,838.52 and 278,414 is: 384,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,855.44 : 700,838.52 = 278,414 : x
  2. Step 2: Convert to fraction form
    507,855.44/700,838.52 = 278,414/x
  3. Step 3: Cross multiply
    507,855.44x = 700,838.52 × 278,414
  4. Step 4: Simplify right side
    507,855.44x = 195,123,255,707.28
  5. Step 5: Solve for x
    x = 195,123,255,707.28/507,855.44
  6. Step 6: Final answer
    x = 384,210.23

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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.