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Finding the Fourth Proportional to 282,430.50, 389,760.86 and 155,108.82

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Solution

The fourth proportional to 282,430.50, 389,760.86 and 155,108.82 is: 214,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,430.50 : 389,760.86 = 155,108.82 : x
  2. Step 2: Convert to fraction form
    282,430.50/389,760.86 = 155,108.82/x
  3. Step 3: Cross multiply
    282,430.50x = 389,760.86 × 155,108.82
  4. Step 4: Simplify right side
    282,430.50x = 60,455,347,076.79
  5. Step 5: Solve for x
    x = 60,455,347,076.79/282,430.50
  6. Step 6: Final answer
    x = 214,053.89

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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.