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Finding the Fourth Proportional to 390,410.96, 538,767.40 and 211,562.96

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Solution

The fourth proportional to 390,410.96, 538,767.40 and 211,562.96 is: 291,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,410.96 : 538,767.40 = 211,562.96 : x
  2. Step 2: Convert to fraction form
    390,410.96/538,767.40 = 211,562.96/x
  3. Step 3: Cross multiply
    390,410.96x = 538,767.40 × 211,562.96
  4. Step 4: Simplify right side
    390,410.96x = 113,983,225,895.50
  5. Step 5: Solve for x
    x = 113,983,225,895.50/390,410.96
  6. Step 6: Final answer
    x = 291,957.03

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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.