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Finding the Fourth Proportional to 390,038.40, 584,620.20 and 165,360.60

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Solution

The fourth proportional to 390,038.40, 584,620.20 and 165,360.60 is: 247,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,038.40 : 584,620.20 = 165,360.60 : x
  2. Step 2: Convert to fraction form
    390,038.40/584,620.20 = 165,360.60/x
  3. Step 3: Cross multiply
    390,038.40x = 584,620.20 × 165,360.60
  4. Step 4: Simplify right side
    390,038.40x = 96,673,147,044.12
  5. Step 5: Solve for x
    x = 96,673,147,044.12/390,038.40
  6. Step 6: Final answer
    x = 247,855.46

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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.