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Finding the Fourth Proportional to 661,589,498.48, 912,976,820.52 and 364,228,772.80

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Solution

The fourth proportional to 661,589,498.48, 912,976,820.52 and 364,228,772.80 is: 502,626,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,589,498.48 : 912,976,820.52 = 364,228,772.80 : x
  2. Step 2: Convert to fraction form
    661,589,498.48/912,976,820.52 = 364,228,772.80/x
  3. Step 3: Cross multiply
    661,589,498.48x = 912,976,820.52 × 364,228,772.80
  4. Step 4: Simplify right side
    661,589,498.48x = 332,532,426,932,845,440
  5. Step 5: Solve for x
    x = 332,532,426,932,845,440/661,589,498.48
  6. Step 6: Final answer
    x = 502,626,519.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.