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Finding the Fourth Proportional to 978,596.46, 1,350,465.57 and 570,978.54

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Solution

The fourth proportional to 978,596.46, 1,350,465.57 and 570,978.54 is: 787,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,596.46 : 1,350,465.57 = 570,978.54 : x
  2. Step 2: Convert to fraction form
    978,596.46/1,350,465.57 = 570,978.54/x
  3. Step 3: Cross multiply
    978,596.46x = 1,350,465.57 × 570,978.54
  4. Step 4: Simplify right side
    978,596.46x = 771,086,859,478.87
  5. Step 5: Solve for x
    x = 771,086,859,478.87/978,596.46
  6. Step 6: Final answer
    x = 787,951.82

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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.