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Finding the Fourth Proportional to 507,910.68, 700,924.65 and 278,488.91

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Solution

The fourth proportional to 507,910.68, 700,924.65 and 278,488.91 is: 384,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,910.68 : 700,924.65 = 278,488.91 : x
  2. Step 2: Convert to fraction form
    507,910.68/700,924.65 = 278,488.91/x
  3. Step 3: Cross multiply
    507,910.68x = 700,924.65 × 278,488.91
  4. Step 4: Simplify right side
    507,910.68x = 195,199,741,770.63
  5. Step 5: Solve for x
    x = 195,199,741,770.63/507,910.68
  6. Step 6: Final answer
    x = 384,319.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.