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Finding the Fourth Proportional to 578,046,728.02, 797,705,254.77 and 313,728,721.15

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Solution

The fourth proportional to 578,046,728.02, 797,705,254.77 and 313,728,721.15 is: 432,946,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,046,728.02 : 797,705,254.77 = 313,728,721.15 : x
  2. Step 2: Convert to fraction form
    578,046,728.02/797,705,254.77 = 313,728,721.15/x
  3. Step 3: Cross multiply
    578,046,728.02x = 797,705,254.77 × 313,728,721.15
  4. Step 4: Simplify right side
    578,046,728.02x = 250,263,049,433,627,008
  5. Step 5: Solve for x
    x = 250,263,049,433,627,008/578,046,728.02
  6. Step 6: Final answer
    x = 432,946,053.15

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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.