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Finding the Fourth Proportional to 472,566,532.80, 708,849,799.20 and 408,865,540.80

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Solution

The fourth proportional to 472,566,532.80, 708,849,799.20 and 408,865,540.80 is: 613,298,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,566,532.80 : 708,849,799.20 = 408,865,540.80 : x
  2. Step 2: Convert to fraction form
    472,566,532.80/708,849,799.20 = 408,865,540.80/x
  3. Step 3: Cross multiply
    472,566,532.80x = 708,849,799.20 × 408,865,540.80
  4. Step 4: Simplify right side
    472,566,532.80x = 289,824,256,495,879,424
  5. Step 5: Solve for x
    x = 289,824,256,495,879,424/472,566,532.80
  6. Step 6: Final answer
    x = 613,298,311.20

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1.5x scale

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.