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Finding the Fourth Proportional to 392,642,627.22, 541,871,068.41 and 216,430,225.74

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Solution

The fourth proportional to 392,642,627.22, 541,871,068.41 and 216,430,225.74 is: 298,687,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,642,627.22 : 541,871,068.41 = 216,430,225.74 : x
  2. Step 2: Convert to fraction form
    392,642,627.22/541,871,068.41 = 216,430,225.74/x
  3. Step 3: Cross multiply
    392,642,627.22x = 541,871,068.41 × 216,430,225.74
  4. Step 4: Simplify right side
    392,642,627.22x = 117,277,277,657,951,280
  5. Step 5: Solve for x
    x = 117,277,277,657,951,280/392,642,627.22
  6. Step 6: Final answer
    x = 298,687,074.52

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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.