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Finding the Fourth Proportional to 515,056.72, 710,779.86 and 285,630.16

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Solution

The fourth proportional to 515,056.72, 710,779.86 and 285,630.16 is: 394,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,056.72 : 710,779.86 = 285,630.16 : x
  2. Step 2: Convert to fraction form
    515,056.72/710,779.86 = 285,630.16/x
  3. Step 3: Cross multiply
    515,056.72x = 710,779.86 × 285,630.16
  4. Step 4: Simplify right side
    515,056.72x = 203,020,165,136.58
  5. Step 5: Solve for x
    x = 203,020,165,136.58/515,056.72
  6. Step 6: Final answer
    x = 394,170.50

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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.