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Finding the Fourth Proportional to 390,902.39, 539,446.34 and 212,054.39

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Solution

The fourth proportional to 390,902.39, 539,446.34 and 212,054.39 is: 292,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,902.39 : 539,446.34 = 212,054.39 : x
  2. Step 2: Convert to fraction form
    390,902.39/539,446.34 = 212,054.39/x
  3. Step 3: Cross multiply
    390,902.39x = 539,446.34 × 212,054.39
  4. Step 4: Simplify right side
    390,902.39x = 114,391,963,506.16
  5. Step 5: Solve for x
    x = 114,391,963,506.16/390,902.39
  6. Step 6: Final answer
    x = 292,635.62

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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.