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Finding the Fourth Proportional to 472,393,897.80, 708,590,846.70 and 442,160,809.80

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Solution

The fourth proportional to 472,393,897.80, 708,590,846.70 and 442,160,809.80 is: 663,241,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,897.80 : 708,590,846.70 = 442,160,809.80 : x
  2. Step 2: Convert to fraction form
    472,393,897.80/708,590,846.70 = 442,160,809.80/x
  3. Step 3: Cross multiply
    472,393,897.80x = 708,590,846.70 × 442,160,809.80
  4. Step 4: Simplify right side
    472,393,897.80x = 313,311,102,593,739,712
  5. Step 5: Solve for x
    x = 313,311,102,593,739,712/472,393,897.80
  6. Step 6: Final answer
    x = 663,241,214.70

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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.