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Finding the Fourth Proportional to 512,153.88, 707,075.10 and 369,282.84

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Solution

The fourth proportional to 512,153.88, 707,075.10 and 369,282.84 is: 509,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,153.88 : 707,075.10 = 369,282.84 : x
  2. Step 2: Convert to fraction form
    512,153.88/707,075.10 = 369,282.84/x
  3. Step 3: Cross multiply
    512,153.88x = 707,075.10 × 369,282.84
  4. Step 4: Simplify right side
    512,153.88x = 261,110,701,021.28
  5. Step 5: Solve for x
    x = 261,110,701,021.28/512,153.88
  6. Step 6: Final answer
    x = 509,828.61

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1.5x scale

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.