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Finding the Fourth Proportional to 284,064,274.40, 426,096,411.60 and 272,916,600.80

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Solution

The fourth proportional to 284,064,274.40, 426,096,411.60 and 272,916,600.80 is: 409,374,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,064,274.40 : 426,096,411.60 = 272,916,600.80 : x
  2. Step 2: Convert to fraction form
    284,064,274.40/426,096,411.60 = 272,916,600.80/x
  3. Step 3: Cross multiply
    284,064,274.40x = 426,096,411.60 × 272,916,600.80
  4. Step 4: Simplify right side
    284,064,274.40x = 116,288,784,266,949,696
  5. Step 5: Solve for x
    x = 116,288,784,266,949,696/284,064,274.40
  6. Step 6: Final answer
    x = 409,374,901.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.