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Finding the Fourth Proportional to 421,992,835.20, 632,989,252.80 and 384,369,436.80

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Solution

The fourth proportional to 421,992,835.20, 632,989,252.80 and 384,369,436.80 is: 576,554,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,992,835.20 : 632,989,252.80 = 384,369,436.80 : x
  2. Step 2: Convert to fraction form
    421,992,835.20/632,989,252.80 = 384,369,436.80/x
  3. Step 3: Cross multiply
    421,992,835.20x = 632,989,252.80 × 384,369,436.80
  4. Step 4: Simplify right side
    421,992,835.20x = 243,301,722,599,188,800
  5. Step 5: Solve for x
    x = 243,301,722,599,188,800/421,992,835.20
  6. Step 6: Final answer
    x = 576,554,155.20

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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.