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Finding the Fourth Proportional to 283,006.48, 390,550.80 and 155,678.80

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Solution

The fourth proportional to 283,006.48, 390,550.80 and 155,678.80 is: 214,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,006.48 : 390,550.80 = 155,678.80 : x
  2. Step 2: Convert to fraction form
    283,006.48/390,550.80 = 155,678.80/x
  3. Step 3: Cross multiply
    283,006.48x = 390,550.80 × 155,678.80
  4. Step 4: Simplify right side
    283,006.48x = 60,800,479,883.04
  5. Step 5: Solve for x
    x = 60,800,479,883.04/283,006.48
  6. Step 6: Final answer
    x = 214,837.77

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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.