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Finding the Fourth Proportional to 402,408,005.70, 603,612,008.55 and 208,697,761.20

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Solution

The fourth proportional to 402,408,005.70, 603,612,008.55 and 208,697,761.20 is: 313,046,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408,005.70 : 603,612,008.55 = 208,697,761.20 : x
  2. Step 2: Convert to fraction form
    402,408,005.70/603,612,008.55 = 208,697,761.20/x
  3. Step 3: Cross multiply
    402,408,005.70x = 603,612,008.55 × 208,697,761.20
  4. Step 4: Simplify right side
    402,408,005.70x = 125,972,474,817,820,240
  5. Step 5: Solve for x
    x = 125,972,474,817,820,240/402,408,005.70
  6. Step 6: Final answer
    x = 313,046,641.80

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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.