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Finding the Fourth Proportional to 508,742.60, 702,067.50 and 317,866.70

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Solution

The fourth proportional to 508,742.60, 702,067.50 and 317,866.70 is: 438,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,742.60 : 702,067.50 = 317,866.70 : x
  2. Step 2: Convert to fraction form
    508,742.60/702,067.50 = 317,866.70/x
  3. Step 3: Cross multiply
    508,742.60x = 702,067.50 × 317,866.70
  4. Step 4: Simplify right side
    508,742.60x = 223,163,879,402.25
  5. Step 5: Solve for x
    x = 223,163,879,402.25/508,742.60
  6. Step 6: Final answer
    x = 438,657.74

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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.