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Finding the Fourth Proportional to 472,392,595.80, 708,588,893.70 and 407,769,370.20

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Solution

The fourth proportional to 472,392,595.80, 708,588,893.70 and 407,769,370.20 is: 611,654,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,595.80 : 708,588,893.70 = 407,769,370.20 : x
  2. Step 2: Convert to fraction form
    472,392,595.80/708,588,893.70 = 407,769,370.20/x
  3. Step 3: Cross multiply
    472,392,595.80x = 708,588,893.70 × 407,769,370.20
  4. Step 4: Simplify right side
    472,392,595.80x = 288,940,846,914,763,776
  5. Step 5: Solve for x
    x = 288,940,846,914,763,776/472,392,595.80
  6. Step 6: Final answer
    x = 611,654,055.30

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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.