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Finding the Fourth Proportional to 401,165.90, 602,040.45 and 164,678.30

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Solution

The fourth proportional to 401,165.90, 602,040.45 and 164,678.30 is: 247,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,165.90 : 602,040.45 = 164,678.30 : x
  2. Step 2: Convert to fraction form
    401,165.90/602,040.45 = 164,678.30/x
  3. Step 3: Cross multiply
    401,165.90x = 602,040.45 × 164,678.30
  4. Step 4: Simplify right side
    401,165.90x = 99,142,997,837.24
  5. Step 5: Solve for x
    x = 99,142,997,837.24/401,165.90
  6. Step 6: Final answer
    x = 247,137.15

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1.5x scale

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.