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Finding the Fourth Proportional to 543,390, 749,879.64 and 304,926

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Solution

The fourth proportional to 543,390, 749,879.64 and 304,926 is: 420,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,390 : 749,879.64 = 304,926 : x
  2. Step 2: Convert to fraction form
    543,390/749,879.64 = 304,926/x
  3. Step 3: Cross multiply
    543,390x = 749,879.64 × 304,926
  4. Step 4: Simplify right side
    543,390x = 228,657,799,106.64
  5. Step 5: Solve for x
    x = 228,657,799,106.64/543,390
  6. Step 6: Final answer
    x = 420,798.69

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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.