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Finding the Fourth Proportional to 309,048.66, 463,810.32 and 138,323.34

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Solution

The fourth proportional to 309,048.66, 463,810.32 and 138,323.34 is: 207,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,048.66 : 463,810.32 = 138,323.34 : x
  2. Step 2: Convert to fraction form
    309,048.66/463,810.32 = 138,323.34/x
  3. Step 3: Cross multiply
    309,048.66x = 463,810.32 × 138,323.34
  4. Step 4: Simplify right side
    309,048.66x = 64,155,792,588.87
  5. Step 5: Solve for x
    x = 64,155,792,588.87/309,048.66
  6. Step 6: Final answer
    x = 207,591.23

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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.