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Finding the Fourth Proportional to 307,314.41, 460,804.55 and 138,637.17

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Solution

The fourth proportional to 307,314.41, 460,804.55 and 138,637.17 is: 207,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,314.41 : 460,804.55 = 138,637.17 : x
  2. Step 2: Convert to fraction form
    307,314.41/460,804.55 = 138,637.17/x
  3. Step 3: Cross multiply
    307,314.41x = 460,804.55 × 138,637.17
  4. Step 4: Simplify right side
    307,314.41x = 63,884,638,041.94
  5. Step 5: Solve for x
    x = 63,884,638,041.94/307,314.41
  6. Step 6: Final answer
    x = 207,880.39

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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.