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Finding the Fourth Proportional to 421,878,339.16, 582,185,781.66 and 233,706,037.48

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Solution

The fourth proportional to 421,878,339.16, 582,185,781.66 and 233,706,037.48 is: 322,510,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,878,339.16 : 582,185,781.66 = 233,706,037.48 : x
  2. Step 2: Convert to fraction form
    421,878,339.16/582,185,781.66 = 233,706,037.48/x
  3. Step 3: Cross multiply
    421,878,339.16x = 582,185,781.66 × 233,706,037.48
  4. Step 4: Simplify right side
    421,878,339.16x = 136,060,332,108,955,040
  5. Step 5: Solve for x
    x = 136,060,332,108,955,040/421,878,339.16
  6. Step 6: Final answer
    x = 322,510,827.13

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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.