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Finding the Fourth Proportional to 284,075.76, 392,544.12 and 270,237.52

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Solution

The fourth proportional to 284,075.76, 392,544.12 and 270,237.52 is: 373,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,075.76 : 392,544.12 = 270,237.52 : x
  2. Step 2: Convert to fraction form
    284,075.76/392,544.12 = 270,237.52/x
  3. Step 3: Cross multiply
    284,075.76x = 392,544.12 × 270,237.52
  4. Step 4: Simplify right side
    284,075.76x = 106,080,149,479.38
  5. Step 5: Solve for x
    x = 106,080,149,479.38/284,075.76
  6. Step 6: Final answer
    x = 373,422.04

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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.