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Finding the Fourth Proportional to 651,683.60, 976,252.80 and 309,640.27

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Solution

The fourth proportional to 651,683.60, 976,252.80 and 309,640.27 is: 463,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,683.60 : 976,252.80 = 309,640.27 : x
  2. Step 2: Convert to fraction form
    651,683.60/976,252.80 = 309,640.27/x
  3. Step 3: Cross multiply
    651,683.60x = 976,252.80 × 309,640.27
  4. Step 4: Simplify right side
    651,683.60x = 302,287,177,365.52
  5. Step 5: Solve for x
    x = 302,287,177,365.52/651,683.60
  6. Step 6: Final answer
    x = 463,855.74

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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.