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Finding the Fourth Proportional to 398,604,804.80, 597,907,207.20 and 381,386,116.40

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Solution

The fourth proportional to 398,604,804.80, 597,907,207.20 and 381,386,116.40 is: 572,079,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,604,804.80 : 597,907,207.20 = 381,386,116.40 : x
  2. Step 2: Convert to fraction form
    398,604,804.80/597,907,207.20 = 381,386,116.40/x
  3. Step 3: Cross multiply
    398,604,804.80x = 597,907,207.20 × 381,386,116.40
  4. Step 4: Simplify right side
    398,604,804.80x = 228,033,507,721,578,112
  5. Step 5: Solve for x
    x = 228,033,507,721,578,112/398,604,804.80
  6. Step 6: Final answer
    x = 572,079,174.60

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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.