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Finding the Fourth Proportional to 390,898.14, 539,440.47 and 212,050.14

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Solution

The fourth proportional to 390,898.14, 539,440.47 and 212,050.14 is: 292,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,898.14 : 539,440.47 = 212,050.14 : x
  2. Step 2: Convert to fraction form
    390,898.14/539,440.47 = 212,050.14/x
  3. Step 3: Cross multiply
    390,898.14x = 539,440.47 × 212,050.14
  4. Step 4: Simplify right side
    390,898.14x = 114,388,427,185.17
  5. Step 5: Solve for x
    x = 114,388,427,185.17/390,898.14
  6. Step 6: Final answer
    x = 292,629.76

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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.