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Finding the Fourth Proportional to 390,316.50, 538,636.77 and 211,468.50

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Solution

The fourth proportional to 390,316.50, 538,636.77 and 211,468.50 is: 291,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,316.50 : 538,636.77 = 211,468.50 : x
  2. Step 2: Convert to fraction form
    390,316.50/538,636.77 = 211,468.50/x
  3. Step 3: Cross multiply
    390,316.50x = 538,636.77 × 211,468.50
  4. Step 4: Simplify right side
    390,316.50x = 113,904,709,796.75
  5. Step 5: Solve for x
    x = 113,904,709,796.75/390,316.50
  6. Step 6: Final answer
    x = 291,826.53

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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.