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Finding the Fourth Proportional to 522,688.80, 783,939.66 and 138,440.28

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Solution

The fourth proportional to 522,688.80, 783,939.66 and 138,440.28 is: 207,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,688.80 : 783,939.66 = 138,440.28 : x
  2. Step 2: Convert to fraction form
    522,688.80/783,939.66 = 138,440.28/x
  3. Step 3: Cross multiply
    522,688.80x = 783,939.66 × 138,440.28
  4. Step 4: Simplify right side
    522,688.80x = 108,528,826,033.51
  5. Step 5: Solve for x
    x = 108,528,826,033.51/522,688.80
  6. Step 6: Final answer
    x = 207,635.64

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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.