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Finding the Fourth Proportional to 524,643.80, 787,075.05 and 299,820.20

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Solution

The fourth proportional to 524,643.80, 787,075.05 and 299,820.20 is: 449,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,643.80 : 787,075.05 = 299,820.20 : x
  2. Step 2: Convert to fraction form
    524,643.80/787,075.05 = 299,820.20/x
  3. Step 3: Cross multiply
    524,643.80x = 787,075.05 × 299,820.20
  4. Step 4: Simplify right side
    524,643.80x = 235,980,998,906.01
  5. Step 5: Solve for x
    x = 235,980,998,906.01/524,643.80
  6. Step 6: Final answer
    x = 449,792.79

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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.