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Finding the Fourth Proportional to 266,019,373.60, 399,029,060.40 and 258,056,749.60

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Solution

The fourth proportional to 266,019,373.60, 399,029,060.40 and 258,056,749.60 is: 387,085,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,019,373.60 : 399,029,060.40 = 258,056,749.60 : x
  2. Step 2: Convert to fraction form
    266,019,373.60/399,029,060.40 = 258,056,749.60/x
  3. Step 3: Cross multiply
    266,019,373.60x = 399,029,060.40 × 258,056,749.60
  4. Step 4: Simplify right side
    266,019,373.60x = 102,972,142,322,766,064
  5. Step 5: Solve for x
    x = 102,972,142,322,766,064/266,019,373.60
  6. Step 6: Final answer
    x = 387,085,124.40

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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.