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Finding the Fourth Proportional to 413,802.80, 621,011.40 and 164,663.60

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Solution

The fourth proportional to 413,802.80, 621,011.40 and 164,663.60 is: 247,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,802.80 : 621,011.40 = 164,663.60 : x
  2. Step 2: Convert to fraction form
    413,802.80/621,011.40 = 164,663.60/x
  3. Step 3: Cross multiply
    413,802.80x = 621,011.40 × 164,663.60
  4. Step 4: Simplify right side
    413,802.80x = 102,257,972,765.04
  5. Step 5: Solve for x
    x = 102,257,972,765.04/413,802.80
  6. Step 6: Final answer
    x = 247,117.64

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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.