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Finding the Fourth Proportional to 540,738.86, 811,809.48 and 361,968.02

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Solution

The fourth proportional to 540,738.86, 811,809.48 and 361,968.02 is: 543,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,738.86 : 811,809.48 = 361,968.02 : x
  2. Step 2: Convert to fraction form
    540,738.86/811,809.48 = 361,968.02/x
  3. Step 3: Cross multiply
    540,738.86x = 811,809.48 × 361,968.02
  4. Step 4: Simplify right side
    540,738.86x = 293,849,070,092.83
  5. Step 5: Solve for x
    x = 293,849,070,092.83/540,738.86
  6. Step 6: Final answer
    x = 543,421.40

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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.