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Finding the Fourth Proportional to 517,693.20, 776,831.40 and 202,109.10

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Solution

The fourth proportional to 517,693.20, 776,831.40 and 202,109.10 is: 303,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,693.20 : 776,831.40 = 202,109.10 : x
  2. Step 2: Convert to fraction form
    517,693.20/776,831.40 = 202,109.10/x
  3. Step 3: Cross multiply
    517,693.20x = 776,831.40 × 202,109.10
  4. Step 4: Simplify right side
    517,693.20x = 157,004,695,105.74
  5. Step 5: Solve for x
    x = 157,004,695,105.74/517,693.20
  6. Step 6: Final answer
    x = 303,277.49

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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.