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Finding the Fourth Proportional to 472,392,491.80, 708,588,737.70 and 443,671,058.20

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Solution

The fourth proportional to 472,392,491.80, 708,588,737.70 and 443,671,058.20 is: 665,506,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,491.80 : 708,588,737.70 = 443,671,058.20 : x
  2. Step 2: Convert to fraction form
    472,392,491.80/708,588,737.70 = 443,671,058.20/x
  3. Step 3: Cross multiply
    472,392,491.80x = 708,588,737.70 × 443,671,058.20
  4. Step 4: Simplify right side
    472,392,491.80x = 314,380,315,083,961,216
  5. Step 5: Solve for x
    x = 314,380,315,083,961,216/472,392,491.80
  6. Step 6: Final answer
    x = 665,506,587.30

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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.