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Finding the Fourth Proportional to 405,600.69, 607,972 and 152,771.78

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Solution

The fourth proportional to 405,600.69, 607,972 and 152,771.78 is: 228,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,600.69 : 607,972 = 152,771.78 : x
  2. Step 2: Convert to fraction form
    405,600.69/607,972 = 152,771.78/x
  3. Step 3: Cross multiply
    405,600.69x = 607,972 × 152,771.78
  4. Step 4: Simplify right side
    405,600.69x = 92,880,964,630.16
  5. Step 5: Solve for x
    x = 92,880,964,630.16/405,600.69
  6. Step 6: Final answer
    x = 228,996.07

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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.