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Finding the Fourth Proportional to 702,903.28, 970,078.13 and 506,831.05

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Solution

The fourth proportional to 702,903.28, 970,078.13 and 506,831.05 is: 699,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,903.28 : 970,078.13 = 506,831.05 : x
  2. Step 2: Convert to fraction form
    702,903.28/970,078.13 = 506,831.05/x
  3. Step 3: Cross multiply
    702,903.28x = 970,078.13 × 506,831.05
  4. Step 4: Simplify right side
    702,903.28x = 491,665,717,209.94
  5. Step 5: Solve for x
    x = 491,665,717,209.94/702,903.28
  6. Step 6: Final answer
    x = 699,478.48

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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.