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Finding the Fourth Proportional to 499,022.48, 688,650.34 and 284,162.52

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Solution

The fourth proportional to 499,022.48, 688,650.34 and 284,162.52 is: 392,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,022.48 : 688,650.34 = 284,162.52 : x
  2. Step 2: Convert to fraction form
    499,022.48/688,650.34 = 284,162.52/x
  3. Step 3: Cross multiply
    499,022.48x = 688,650.34 × 284,162.52
  4. Step 4: Simplify right side
    499,022.48x = 195,688,616,013.26
  5. Step 5: Solve for x
    x = 195,688,616,013.26/499,022.48
  6. Step 6: Final answer
    x = 392,143.89

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1.5x scale

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.