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Finding the Fourth Proportional to 257,075.40, 385,497.90 and 99,251.40

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Solution

The fourth proportional to 257,075.40, 385,497.90 and 99,251.40 is: 148,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,075.40 : 385,497.90 = 99,251.40 : x
  2. Step 2: Convert to fraction form
    257,075.40/385,497.90 = 99,251.40/x
  3. Step 3: Cross multiply
    257,075.40x = 385,497.90 × 99,251.40
  4. Step 4: Simplify right side
    257,075.40x = 38,261,206,272.06
  5. Step 5: Solve for x
    x = 38,261,206,272.06/257,075.40
  6. Step 6: Final answer
    x = 148,832.62

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1.5x scale

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.