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Finding the Fourth Proportional to 457,271.80, 685,421.70 and 220,460.20

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Solution

The fourth proportional to 457,271.80, 685,421.70 and 220,460.20 is: 330,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,271.80 : 685,421.70 = 220,460.20 : x
  2. Step 2: Convert to fraction form
    457,271.80/685,421.70 = 220,460.20/x
  3. Step 3: Cross multiply
    457,271.80x = 685,421.70 × 220,460.20
  4. Step 4: Simplify right side
    457,271.80x = 151,108,205,066.34
  5. Step 5: Solve for x
    x = 151,108,205,066.34/457,271.80
  6. Step 6: Final answer
    x = 330,455.99

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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.