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Finding the Fourth Proportional to 505,426.50, 696,919.95 and 413,258.22

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Solution

The fourth proportional to 505,426.50, 696,919.95 and 413,258.22 is: 569,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,426.50 : 696,919.95 = 413,258.22 : x
  2. Step 2: Convert to fraction form
    505,426.50/696,919.95 = 413,258.22/x
  3. Step 3: Cross multiply
    505,426.50x = 696,919.95 × 413,258.22
  4. Step 4: Simplify right side
    505,426.50x = 288,007,898,019.49
  5. Step 5: Solve for x
    x = 288,007,898,019.49/505,426.50
  6. Step 6: Final answer
    x = 569,831.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.