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Finding the Fourth Proportional to 390,215.16, 585,293.58 and 140,897.16

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Solution

The fourth proportional to 390,215.16, 585,293.58 and 140,897.16 is: 211,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,215.16 : 585,293.58 = 140,897.16 : x
  2. Step 2: Convert to fraction form
    390,215.16/585,293.58 = 140,897.16/x
  3. Step 3: Cross multiply
    390,215.16x = 585,293.58 × 140,897.16
  4. Step 4: Simplify right side
    390,215.16x = 82,466,203,188.23
  5. Step 5: Solve for x
    x = 82,466,203,188.23/390,215.16
  6. Step 6: Final answer
    x = 211,335.21

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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.