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Finding the Fourth Proportional to 507,862.61, 700,845.94 and 278,415.73

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Solution

The fourth proportional to 507,862.61, 700,845.94 and 278,415.73 is: 384,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,862.61 : 700,845.94 = 278,415.73 : x
  2. Step 2: Convert to fraction form
    507,862.61/700,845.94 = 278,415.73/x
  3. Step 3: Cross multiply
    507,862.61x = 700,845.94 × 278,415.73
  4. Step 4: Simplify right side
    507,862.61x = 195,126,531,554.48
  5. Step 5: Solve for x
    x = 195,126,531,554.48/507,862.61
  6. Step 6: Final answer
    x = 384,211.25

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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.