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Finding the Fourth Proportional to 536,403.56, 803,857.19 and 403,127.78

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Solution

The fourth proportional to 536,403.56, 803,857.19 and 403,127.78 is: 604,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,403.56 : 803,857.19 = 403,127.78 : x
  2. Step 2: Convert to fraction form
    536,403.56/803,857.19 = 403,127.78/x
  3. Step 3: Cross multiply
    536,403.56x = 803,857.19 × 403,127.78
  4. Step 4: Simplify right side
    536,403.56x = 324,057,158,406.81
  5. Step 5: Solve for x
    x = 324,057,158,406.81/536,403.56
  6. Step 6: Final answer
    x = 604,129.40

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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.