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Finding the Fourth Proportional to 400,681.40, 601,362.30 and 164,193.80

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Solution

The fourth proportional to 400,681.40, 601,362.30 and 164,193.80 is: 246,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,681.40 : 601,362.30 = 164,193.80 : x
  2. Step 2: Convert to fraction form
    400,681.40/601,362.30 = 164,193.80/x
  3. Step 3: Cross multiply
    400,681.40x = 601,362.30 × 164,193.80
  4. Step 4: Simplify right side
    400,681.40x = 98,739,961,213.74
  5. Step 5: Solve for x
    x = 98,739,961,213.74/400,681.40
  6. Step 6: Final answer
    x = 246,430.11

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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.