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Finding the Fourth Proportional to 280,274.56, 386,780.09 and 152,952.88

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Solution

The fourth proportional to 280,274.56, 386,780.09 and 152,952.88 is: 211,075.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,274.56 : 386,780.09 = 152,952.88 : x
  2. Step 2: Convert to fraction form
    280,274.56/386,780.09 = 152,952.88/x
  3. Step 3: Cross multiply
    280,274.56x = 386,780.09 × 152,952.88
  4. Step 4: Simplify right side
    280,274.56x = 59,159,128,692.16
  5. Step 5: Solve for x
    x = 59,159,128,692.16/280,274.56
  6. Step 6: Final answer
    x = 211,075.63

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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.