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Finding the Fourth Proportional to 703,999.56, 971,513.42 and 398,136

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Solution

The fourth proportional to 703,999.56, 971,513.42 and 398,136 is: 549,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,999.56 : 971,513.42 = 398,136 : x
  2. Step 2: Convert to fraction form
    703,999.56/971,513.42 = 398,136/x
  3. Step 3: Cross multiply
    703,999.56x = 971,513.42 × 398,136
  4. Step 4: Simplify right side
    703,999.56x = 386,794,466,985.12
  5. Step 5: Solve for x
    x = 386,794,466,985.12/703,999.56
  6. Step 6: Final answer
    x = 549,424.30

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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.