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Finding the Fourth Proportional to 475,357.12, 712,555.89 and 297,988.72

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Solution

The fourth proportional to 475,357.12, 712,555.89 and 297,988.72 is: 446,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,357.12 : 712,555.89 = 297,988.72 : x
  2. Step 2: Convert to fraction form
    475,357.12/712,555.89 = 297,988.72/x
  3. Step 3: Cross multiply
    475,357.12x = 712,555.89 × 297,988.72
  4. Step 4: Simplify right side
    475,357.12x = 212,333,617,589.56
  5. Step 5: Solve for x
    x = 212,333,617,589.56/475,357.12
  6. Step 6: Final answer
    x = 446,682.31

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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.