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Finding the Fourth Proportional to 567,426.16, 783,047.88 and 312,781.60

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Solution

The fourth proportional to 567,426.16, 783,047.88 and 312,781.60 is: 431,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,426.16 : 783,047.88 = 312,781.60 : x
  2. Step 2: Convert to fraction form
    567,426.16/783,047.88 = 312,781.60/x
  3. Step 3: Cross multiply
    567,426.16x = 783,047.88 × 312,781.60
  4. Step 4: Simplify right side
    567,426.16x = 244,922,968,783.01
  5. Step 5: Solve for x
    x = 244,922,968,783.01/567,426.16
  6. Step 6: Final answer
    x = 431,638.49

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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.