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Finding the Fourth Proportional to 543,054.54, 814,655.92 and 315,457.10

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Solution

The fourth proportional to 543,054.54, 814,655.92 and 315,457.10 is: 473,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,054.54 : 814,655.92 = 315,457.10 : x
  2. Step 2: Convert to fraction form
    543,054.54/814,655.92 = 315,457.10/x
  3. Step 3: Cross multiply
    543,054.54x = 814,655.92 × 315,457.10
  4. Step 4: Simplify right side
    543,054.54x = 256,988,994,021.03
  5. Step 5: Solve for x
    x = 256,988,994,021.03/543,054.54
  6. Step 6: Final answer
    x = 473,228.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.