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Finding the Fourth Proportional to 702,903.87, 970,078.95 and 506,831.64

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Solution

The fourth proportional to 702,903.87, 970,078.95 and 506,831.64 is: 699,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,903.87 : 970,078.95 = 506,831.64 : x
  2. Step 2: Convert to fraction form
    702,903.87/970,078.95 = 506,831.64/x
  3. Step 3: Cross multiply
    702,903.87x = 970,078.95 × 506,831.64
  4. Step 4: Simplify right side
    702,903.87x = 491,666,705,157.98
  5. Step 5: Solve for x
    x = 491,666,705,157.98/702,903.87
  6. Step 6: Final answer
    x = 699,479.30

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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.