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Finding the Fourth Proportional to 301,521,981.30, 421,269,839.40 and 301,521,981.30

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Solution

The fourth proportional to 301,521,981.30, 421,269,839.40 and 301,521,981.30 is: 421,269,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,521,981.30 : 421,269,839.40 = 301,521,981.30 : x
  2. Step 2: Convert to fraction form
    301,521,981.30/421,269,839.40 = 301,521,981.30/x
  3. Step 3: Cross multiply
    301,521,981.30x = 421,269,839.40 × 301,521,981.30
  4. Step 4: Simplify right side
    301,521,981.30x = 127,022,116,637,820,800
  5. Step 5: Solve for x
    x = 127,022,116,637,820,800/301,521,981.30
  6. Step 6: Final answer
    x = 421,269,839.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.