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Finding the Fourth Proportional to 390,006.60, 585,065.26 and 120,156.64

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Solution

The fourth proportional to 390,006.60, 585,065.26 and 120,156.64 is: 180,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,006.60 : 585,065.26 = 120,156.64 : x
  2. Step 2: Convert to fraction form
    390,006.60/585,065.26 = 120,156.64/x
  3. Step 3: Cross multiply
    390,006.60x = 585,065.26 × 120,156.64
  4. Step 4: Simplify right side
    390,006.60x = 70,299,476,637.41
  5. Step 5: Solve for x
    x = 70,299,476,637.41/390,006.60
  6. Step 6: Final answer
    x = 180,252.02

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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.