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Finding the Fourth Proportional to 314,932,419.20, 472,398,628.80 and 185,473,391.60

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Solution

The fourth proportional to 314,932,419.20, 472,398,628.80 and 185,473,391.60 is: 278,210,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,932,419.20 : 472,398,628.80 = 185,473,391.60 : x
  2. Step 2: Convert to fraction form
    314,932,419.20/472,398,628.80 = 185,473,391.60/x
  3. Step 3: Cross multiply
    314,932,419.20x = 472,398,628.80 × 185,473,391.60
  4. Step 4: Simplify right side
    314,932,419.20x = 87,617,375,870,725,440
  5. Step 5: Solve for x
    x = 87,617,375,870,725,440/314,932,419.20
  6. Step 6: Final answer
    x = 278,210,087.40

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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.