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Finding the Fourth Proportional to 805,894,831.20, 1,208,842,246.80 and 260,691,477.60

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Solution

The fourth proportional to 805,894,831.20, 1,208,842,246.80 and 260,691,477.60 is: 391,037,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,894,831.20 : 1,208,842,246.80 = 260,691,477.60 : x
  2. Step 2: Convert to fraction form
    805,894,831.20/1,208,842,246.80 = 260,691,477.60/x
  3. Step 3: Cross multiply
    805,894,831.20x = 1,208,842,246.80 × 260,691,477.60
  4. Step 4: Simplify right side
    805,894,831.20x = 315,134,871,503,595,840
  5. Step 5: Solve for x
    x = 315,134,871,503,595,840/805,894,831.20
  6. Step 6: Final answer
    x = 391,037,216.40

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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.