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Finding the Fourth Proportional to 970,396.77, 1,455,394.68 and 260,256

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Solution

The fourth proportional to 970,396.77, 1,455,394.68 and 260,256 is: 390,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,396.77 : 1,455,394.68 = 260,256 : x
  2. Step 2: Convert to fraction form
    970,396.77/1,455,394.68 = 260,256/x
  3. Step 3: Cross multiply
    970,396.77x = 1,455,394.68 × 260,256
  4. Step 4: Simplify right side
    970,396.77x = 378,775,197,838.08
  5. Step 5: Solve for x
    x = 378,775,197,838.08/970,396.77
  6. Step 6: Final answer
    x = 390,330.23

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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.