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Finding the Fourth Proportional to 472,566,604.80, 708,849,907.20 and 408,865,612.80

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Solution

The fourth proportional to 472,566,604.80, 708,849,907.20 and 408,865,612.80 is: 613,298,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,566,604.80 : 708,849,907.20 = 408,865,612.80 : x
  2. Step 2: Convert to fraction form
    472,566,604.80/708,849,907.20 = 408,865,612.80/x
  3. Step 3: Cross multiply
    472,566,604.80x = 708,849,907.20 × 408,865,612.80
  4. Step 4: Simplify right side
    472,566,604.80x = 289,824,351,690,551,168
  5. Step 5: Solve for x
    x = 289,824,351,690,551,168/472,566,604.80
  6. Step 6: Final answer
    x = 613,298,419.20

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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.