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Finding the Fourth Proportional to 401,341.80, 602,012.70 and 164,854.20

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Solution

The fourth proportional to 401,341.80, 602,012.70 and 164,854.20 is: 247,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,341.80 : 602,012.70 = 164,854.20 : x
  2. Step 2: Convert to fraction form
    401,341.80/602,012.70 = 164,854.20/x
  3. Step 3: Cross multiply
    401,341.80x = 602,012.70 × 164,854.20
  4. Step 4: Simplify right side
    401,341.80x = 99,244,322,048.34
  5. Step 5: Solve for x
    x = 99,244,322,048.34/401,341.80
  6. Step 6: Final answer
    x = 247,281.30

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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.