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Finding the Fourth Proportional to 390,208.50, 585,299.70 and 165,424.32

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Solution

The fourth proportional to 390,208.50, 585,299.70 and 165,424.32 is: 248,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,208.50 : 585,299.70 = 165,424.32 : x
  2. Step 2: Convert to fraction form
    390,208.50/585,299.70 = 165,424.32/x
  3. Step 3: Cross multiply
    390,208.50x = 585,299.70 × 165,424.32
  4. Step 4: Simplify right side
    390,208.50x = 96,822,804,868.70
  5. Step 5: Solve for x
    x = 96,822,804,868.70/390,208.50
  6. Step 6: Final answer
    x = 248,130.95

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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.