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Finding the Fourth Proportional to 538,775.19, 743,499.95 and 297,080.10

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Solution

The fourth proportional to 538,775.19, 743,499.95 and 297,080.10 is: 409,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,775.19 : 743,499.95 = 297,080.10 : x
  2. Step 2: Convert to fraction form
    538,775.19/743,499.95 = 297,080.10/x
  3. Step 3: Cross multiply
    538,775.19x = 743,499.95 × 297,080.10
  4. Step 4: Simplify right side
    538,775.19x = 220,879,038,010.59
  5. Step 5: Solve for x
    x = 220,879,038,010.59/538,775.19
  6. Step 6: Final answer
    x = 409,965.12

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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.