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Finding the Fourth Proportional to 542,706.48, 748,970.96 and 300,999.24

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Solution

The fourth proportional to 542,706.48, 748,970.96 and 300,999.24 is: 415,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,706.48 : 748,970.96 = 300,999.24 : x
  2. Step 2: Convert to fraction form
    542,706.48/748,970.96 = 300,999.24/x
  3. Step 3: Cross multiply
    542,706.48x = 748,970.96 × 300,999.24
  4. Step 4: Simplify right side
    542,706.48x = 225,439,688,237.07
  5. Step 5: Solve for x
    x = 225,439,688,237.07/542,706.48
  6. Step 6: Final answer
    x = 415,398.92

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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.