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Finding the Fourth Proportional to 472,392,496.80, 708,588,745.20 and 429,345,775.80

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Solution

The fourth proportional to 472,392,496.80, 708,588,745.20 and 429,345,775.80 is: 644,018,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,496.80 : 708,588,745.20 = 429,345,775.80 : x
  2. Step 2: Convert to fraction form
    472,392,496.80/708,588,745.20 = 429,345,775.80/x
  3. Step 3: Cross multiply
    472,392,496.80x = 708,588,745.20 × 429,345,775.80
  4. Step 4: Simplify right side
    472,392,496.80x = 304,229,584,531,042,560
  5. Step 5: Solve for x
    x = 304,229,584,531,042,560/472,392,496.80
  6. Step 6: Final answer
    x = 644,018,663.70

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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.