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Finding the Fourth Proportional to 398,604,875.70, 597,907,313.55 and 295,292,745.30

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Solution

The fourth proportional to 398,604,875.70, 597,907,313.55 and 295,292,745.30 is: 442,939,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,604,875.70 : 597,907,313.55 = 295,292,745.30 : x
  2. Step 2: Convert to fraction form
    398,604,875.70/597,907,313.55 = 295,292,745.30/x
  3. Step 3: Cross multiply
    398,604,875.70x = 597,907,313.55 × 295,292,745.30
  4. Step 4: Simplify right side
    398,604,875.70x = 176,557,692,053,127,392
  5. Step 5: Solve for x
    x = 176,557,692,053,127,392/398,604,875.70
  6. Step 6: Final answer
    x = 442,939,117.95

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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.