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Finding the Fourth Proportional to 970,400.76, 1,455,400.68 and 260,260

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Solution

The fourth proportional to 970,400.76, 1,455,400.68 and 260,260 is: 390,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,400.76 : 1,455,400.68 = 260,260 : x
  2. Step 2: Convert to fraction form
    970,400.76/1,455,400.68 = 260,260/x
  3. Step 3: Cross multiply
    970,400.76x = 1,455,400.68 × 260,260
  4. Step 4: Simplify right side
    970,400.76x = 378,782,580,976.80
  5. Step 5: Solve for x
    x = 378,782,580,976.80/970,400.76
  6. Step 6: Final answer
    x = 390,336.24

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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.