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Finding the Fourth Proportional to 390,071.56, 538,298.64 and 211,223.56

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Solution

The fourth proportional to 390,071.56, 538,298.64 and 211,223.56 is: 291,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,071.56 : 538,298.64 = 211,223.56 : x
  2. Step 2: Convert to fraction form
    390,071.56/538,298.64 = 211,223.56/x
  3. Step 3: Cross multiply
    390,071.56x = 538,298.64 × 211,223.56
  4. Step 4: Simplify right side
    390,071.56x = 113,701,355,083.96
  5. Step 5: Solve for x
    x = 113,701,355,083.96/390,071.56
  6. Step 6: Final answer
    x = 291,488.45

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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.