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Finding the Fourth Proportional to 390,645.84, 586,027.27 and 141,386.16

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Solution

The fourth proportional to 390,645.84, 586,027.27 and 141,386.16 is: 212,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,645.84 : 586,027.27 = 141,386.16 : x
  2. Step 2: Convert to fraction form
    390,645.84/586,027.27 = 141,386.16/x
  3. Step 3: Cross multiply
    390,645.84x = 586,027.27 × 141,386.16
  4. Step 4: Simplify right side
    390,645.84x = 82,856,147,204.72
  5. Step 5: Solve for x
    x = 82,856,147,204.72/390,645.84
  6. Step 6: Final answer
    x = 212,100.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.