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Finding the Fourth Proportional to 285,287.89, 427,931.43 and 85,607.95

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Solution

The fourth proportional to 285,287.89, 427,931.43 and 85,607.95 is: 128,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,287.89 : 427,931.43 = 85,607.95 : x
  2. Step 2: Convert to fraction form
    285,287.89/427,931.43 = 85,607.95/x
  3. Step 3: Cross multiply
    285,287.89x = 427,931.43 × 85,607.95
  4. Step 4: Simplify right side
    285,287.89x = 36,634,331,072.01
  5. Step 5: Solve for x
    x = 36,634,331,072.01/285,287.89
  6. Step 6: Final answer
    x = 128,411.80

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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.