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Finding the Fourth Proportional to 469,919.60, 705,031.21 and 217,365.76

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Solution

The fourth proportional to 469,919.60, 705,031.21 and 217,365.76 is: 326,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,919.60 : 705,031.21 = 217,365.76 : x
  2. Step 2: Convert to fraction form
    469,919.60/705,031.21 = 217,365.76/x
  3. Step 3: Cross multiply
    469,919.60x = 705,031.21 × 217,365.76
  4. Step 4: Simplify right side
    469,919.60x = 153,249,643,698.54
  5. Step 5: Solve for x
    x = 153,249,643,698.54/469,919.60
  6. Step 6: Final answer
    x = 326,118.86

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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.