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Finding the Fourth Proportional to 402,138.40, 603,547.80 and 165,650.80

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Solution

The fourth proportional to 402,138.40, 603,547.80 and 165,650.80 is: 248,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,138.40 : 603,547.80 = 165,650.80 : x
  2. Step 2: Convert to fraction form
    402,138.40/603,547.80 = 165,650.80/x
  3. Step 3: Cross multiply
    402,138.40x = 603,547.80 × 165,650.80
  4. Step 4: Simplify right side
    402,138.40x = 99,978,175,908.24
  5. Step 5: Solve for x
    x = 99,978,175,908.24/402,138.40
  6. Step 6: Final answer
    x = 248,616.34

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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.