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Finding the Fourth Proportional to 392,642,714.88, 541,871,188.80 and 216,430,312.80

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Solution

The fourth proportional to 392,642,714.88, 541,871,188.80 and 216,430,312.80 is: 298,687,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,642,714.88 : 541,871,188.80 = 216,430,312.80 : x
  2. Step 2: Convert to fraction form
    392,642,714.88/541,871,188.80 = 216,430,312.80/x
  3. Step 3: Cross multiply
    392,642,714.88x = 541,871,188.80 × 216,430,312.80
  4. Step 4: Simplify right side
    392,642,714.88x = 117,277,350,889,291,856
  5. Step 5: Solve for x
    x = 117,277,350,889,291,856/392,642,714.88
  6. Step 6: Final answer
    x = 298,687,194.35

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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.