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Finding the Fourth Proportional to 501,680.06, 692,318.50 and 300,476.06

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Solution

The fourth proportional to 501,680.06, 692,318.50 and 300,476.06 is: 414,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,680.06 : 692,318.50 = 300,476.06 : x
  2. Step 2: Convert to fraction form
    501,680.06/692,318.50 = 300,476.06/x
  3. Step 3: Cross multiply
    501,680.06x = 692,318.50 × 300,476.06
  4. Step 4: Simplify right side
    501,680.06x = 208,025,136,124.72
  5. Step 5: Solve for x
    x = 208,025,136,124.72/501,680.06
  6. Step 6: Final answer
    x = 414,656.97

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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.