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Finding the Fourth Proportional to 421,443,048.60, 631,314,267.30 and 421,443,048.60

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Solution

The fourth proportional to 421,443,048.60, 631,314,267.30 and 421,443,048.60 is: 631,314,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,443,048.60 : 631,314,267.30 = 421,443,048.60 : x
  2. Step 2: Convert to fraction form
    421,443,048.60/631,314,267.30 = 421,443,048.60/x
  3. Step 3: Cross multiply
    421,443,048.60x = 631,314,267.30 × 421,443,048.60
  4. Step 4: Simplify right side
    421,443,048.60x = 266,063,009,435,587,296
  5. Step 5: Solve for x
    x = 266,063,009,435,587,296/421,443,048.60
  6. Step 6: Final answer
    x = 631,314,267.30

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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.