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Finding the Fourth Proportional to 426,946.60, 640,408.86 and 138,756.62

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Solution

The fourth proportional to 426,946.60, 640,408.86 and 138,756.62 is: 208,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,946.60 : 640,408.86 = 138,756.62 : x
  2. Step 2: Convert to fraction form
    426,946.60/640,408.86 = 138,756.62/x
  3. Step 3: Cross multiply
    426,946.60x = 640,408.86 × 138,756.62
  4. Step 4: Simplify right side
    426,946.60x = 88,860,968,831.65
  5. Step 5: Solve for x
    x = 88,860,968,831.65/426,946.60
  6. Step 6: Final answer
    x = 208,131.34

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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.