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Finding the Fourth Proportional to 398,592,605.20, 597,888,907.80 and 300,382,308.40

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Solution

The fourth proportional to 398,592,605.20, 597,888,907.80 and 300,382,308.40 is: 450,573,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,592,605.20 : 597,888,907.80 = 300,382,308.40 : x
  2. Step 2: Convert to fraction form
    398,592,605.20/597,888,907.80 = 300,382,308.40/x
  3. Step 3: Cross multiply
    398,592,605.20x = 597,888,907.80 × 300,382,308.40
  4. Step 4: Simplify right side
    398,592,605.20x = 179,595,250,291,718,752
  5. Step 5: Solve for x
    x = 179,595,250,291,718,752/398,592,605.20
  6. Step 6: Final answer
    x = 450,573,462.60

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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.