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Finding the Fourth Proportional to 301,537,914.30, 421,292,145.60 and 301,537,914.30

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Solution

The fourth proportional to 301,537,914.30, 421,292,145.60 and 301,537,914.30 is: 421,292,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,537,914.30 : 421,292,145.60 = 301,537,914.30 : x
  2. Step 2: Convert to fraction form
    301,537,914.30/421,292,145.60 = 301,537,914.30/x
  3. Step 3: Cross multiply
    301,537,914.30x = 421,292,145.60 × 301,537,914.30
  4. Step 4: Simplify right side
    301,537,914.30x = 127,035,554,895,195,936
  5. Step 5: Solve for x
    x = 127,035,554,895,195,936/301,537,914.30
  6. Step 6: Final answer
    x = 421,292,145.60

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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.