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Finding the Fourth Proportional to 402,712,911.60, 604,523,485.80 and 266,664,015.60

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Solution

The fourth proportional to 402,712,911.60, 604,523,485.80 and 266,664,015.60 is: 400,296,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,712,911.60 : 604,523,485.80 = 266,664,015.60 : x
  2. Step 2: Convert to fraction form
    402,712,911.60/604,523,485.80 = 266,664,015.60/x
  3. Step 3: Cross multiply
    402,712,911.60x = 604,523,485.80 × 266,664,015.60
  4. Step 4: Simplify right side
    402,712,911.60x = 161,204,660,247,937,568
  5. Step 5: Solve for x
    x = 161,204,660,247,937,568/402,712,911.60
  6. Step 6: Final answer
    x = 400,296,726.54

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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.