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Finding the Fourth Proportional to 457,870.40, 685,250.40 and 401,883.20

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Solution

The fourth proportional to 457,870.40, 685,250.40 and 401,883.20 is: 601,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,870.40 : 685,250.40 = 401,883.20 : x
  2. Step 2: Convert to fraction form
    457,870.40/685,250.40 = 401,883.20/x
  3. Step 3: Cross multiply
    457,870.40x = 685,250.40 × 401,883.20
  4. Step 4: Simplify right side
    457,870.40x = 275,390,623,553.28
  5. Step 5: Solve for x
    x = 275,390,623,553.28/457,870.40
  6. Step 6: Final answer
    x = 601,459.77

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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.