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Finding the Fourth Proportional to 770,798, 1,063,701.24 and 431,331.86

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Solution

The fourth proportional to 770,798, 1,063,701.24 and 431,331.86 is: 595,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,798 : 1,063,701.24 = 431,331.86 : x
  2. Step 2: Convert to fraction form
    770,798/1,063,701.24 = 431,331.86/x
  3. Step 3: Cross multiply
    770,798x = 1,063,701.24 × 431,331.86
  4. Step 4: Simplify right side
    770,798x = 458,808,234,333.51
  5. Step 5: Solve for x
    x = 458,808,234,333.51/770,798
  6. Step 6: Final answer
    x = 595,237.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.