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Finding the Fourth Proportional to 399,856.50, 599,784.75 and 160,078.35

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Solution

The fourth proportional to 399,856.50, 599,784.75 and 160,078.35 is: 240,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,856.50 : 599,784.75 = 160,078.35 : x
  2. Step 2: Convert to fraction form
    399,856.50/599,784.75 = 160,078.35/x
  3. Step 3: Cross multiply
    399,856.50x = 599,784.75 × 160,078.35
  4. Step 4: Simplify right side
    399,856.50x = 96,012,553,135.16
  5. Step 5: Solve for x
    x = 96,012,553,135.16/399,856.50
  6. Step 6: Final answer
    x = 240,117.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.