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Finding the Fourth Proportional to 384,901.02, 577,290.90 and 128,731.65

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Solution

The fourth proportional to 384,901.02, 577,290.90 and 128,731.65 is: 193,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,901.02 : 577,290.90 = 128,731.65 : x
  2. Step 2: Convert to fraction form
    384,901.02/577,290.90 = 128,731.65/x
  3. Step 3: Cross multiply
    384,901.02x = 577,290.90 × 128,731.65
  4. Step 4: Simplify right side
    384,901.02x = 74,315,610,086.99
  5. Step 5: Solve for x
    x = 74,315,610,086.99/384,901.02
  6. Step 6: Final answer
    x = 193,077.20

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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.