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Finding the Fourth Proportional to 283,002.78, 424,506.70 and 80,598.70

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Solution

The fourth proportional to 283,002.78, 424,506.70 and 80,598.70 is: 120,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,002.78 : 424,506.70 = 80,598.70 : x
  2. Step 2: Convert to fraction form
    283,002.78/424,506.70 = 80,598.70/x
  3. Step 3: Cross multiply
    283,002.78x = 424,506.70 × 80,598.70
  4. Step 4: Simplify right side
    283,002.78x = 34,214,688,864.47
  5. Step 5: Solve for x
    x = 34,214,688,864.47/283,002.78
  6. Step 6: Final answer
    x = 120,898.77

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1.5x scale

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.