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Finding the Fourth Proportional to 384,865.86, 577,322.51 and 148,208.77

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Solution

The fourth proportional to 384,865.86, 577,322.51 and 148,208.77 is: 222,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,865.86 : 577,322.51 = 148,208.77 : x
  2. Step 2: Convert to fraction form
    384,865.86/577,322.51 = 148,208.77/x
  3. Step 3: Cross multiply
    384,865.86x = 577,322.51 × 148,208.77
  4. Step 4: Simplify right side
    384,865.86x = 85,564,259,081.02
  5. Step 5: Solve for x
    x = 85,564,259,081.02/384,865.86
  6. Step 6: Final answer
    x = 222,322.29

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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.