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Finding the Fourth Proportional to 433,189.45, 649,686.98 and 208,435.11

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Solution

The fourth proportional to 433,189.45, 649,686.98 and 208,435.11 is: 312,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,189.45 : 649,686.98 = 208,435.11 : x
  2. Step 2: Convert to fraction form
    433,189.45/649,686.98 = 208,435.11/x
  3. Step 3: Cross multiply
    433,189.45x = 649,686.98 × 208,435.11
  4. Step 4: Simplify right side
    433,189.45x = 135,417,572,851.26
  5. Step 5: Solve for x
    x = 135,417,572,851.26/433,189.45
  6. Step 6: Final answer
    x = 312,605.89

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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.