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Finding the Fourth Proportional to 648,240, 970,696.64 and 448,284.48

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Solution

The fourth proportional to 648,240, 970,696.64 and 448,284.48 is: 671,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,240 : 970,696.64 = 448,284.48 : x
  2. Step 2: Convert to fraction form
    648,240/970,696.64 = 448,284.48/x
  3. Step 3: Cross multiply
    648,240x = 970,696.64 × 448,284.48
  4. Step 4: Simplify right side
    648,240x = 435,148,238,500.15
  5. Step 5: Solve for x
    x = 435,148,238,500.15/648,240
  6. Step 6: Final answer
    x = 671,276.44

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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.