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Finding the Fourth Proportional to 477,108,608.40, 715,662,912.60 and 386,409,344.40

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Solution

The fourth proportional to 477,108,608.40, 715,662,912.60 and 386,409,344.40 is: 579,614,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,108,608.40 : 715,662,912.60 = 386,409,344.40 : x
  2. Step 2: Convert to fraction form
    477,108,608.40/715,662,912.60 = 386,409,344.40/x
  3. Step 3: Cross multiply
    477,108,608.40x = 715,662,912.60 × 386,409,344.40
  4. Step 4: Simplify right side
    477,108,608.40x = 276,538,836,869,160,480
  5. Step 5: Solve for x
    x = 276,538,836,869,160,480/477,108,608.40
  6. Step 6: Final answer
    x = 579,614,016.60

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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.