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Finding the Fourth Proportional to 343,776, 515,871.36 and 146,784

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Solution

The fourth proportional to 343,776, 515,871.36 and 146,784 is: 220,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,776 : 515,871.36 = 146,784 : x
  2. Step 2: Convert to fraction form
    343,776/515,871.36 = 146,784/x
  3. Step 3: Cross multiply
    343,776x = 515,871.36 × 146,784
  4. Step 4: Simplify right side
    343,776x = 75,721,661,706.24
  5. Step 5: Solve for x
    x = 75,721,661,706.24/343,776
  6. Step 6: Final answer
    x = 220,264.54

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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.