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Finding the Fourth Proportional to 384,991.76, 531,275.28 and 215,225.48

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Solution

The fourth proportional to 384,991.76, 531,275.28 and 215,225.48 is: 297,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,991.76 : 531,275.28 = 215,225.48 : x
  2. Step 2: Convert to fraction form
    384,991.76/531,275.28 = 215,225.48/x
  3. Step 3: Cross multiply
    384,991.76x = 531,275.28 × 215,225.48
  4. Step 4: Simplify right side
    384,991.76x = 114,343,977,150.13
  5. Step 5: Solve for x
    x = 114,343,977,150.13/384,991.76
  6. Step 6: Final answer
    x = 297,003.70

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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.