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Finding the Fourth Proportional to 384,347.24, 576,461.72 and 128,184.32

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Solution

The fourth proportional to 384,347.24, 576,461.72 and 128,184.32 is: 192,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,347.24 : 576,461.72 = 128,184.32 : x
  2. Step 2: Convert to fraction form
    384,347.24/576,461.72 = 128,184.32/x
  3. Step 3: Cross multiply
    384,347.24x = 576,461.72 × 128,184.32
  4. Step 4: Simplify right side
    384,347.24x = 73,893,353,584.23
  5. Step 5: Solve for x
    x = 73,893,353,584.23/384,347.24
  6. Step 6: Final answer
    x = 192,256.76

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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.