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Finding the Fourth Proportional to 280,482.07, 387,065.22 and 153,157.78

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Solution

The fourth proportional to 280,482.07, 387,065.22 and 153,157.78 is: 211,357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,482.07 : 387,065.22 = 153,157.78 : x
  2. Step 2: Convert to fraction form
    280,482.07/387,065.22 = 153,157.78/x
  3. Step 3: Cross multiply
    280,482.07x = 387,065.22 × 153,157.78
  4. Step 4: Simplify right side
    280,482.07x = 59,282,049,810.41
  5. Step 5: Solve for x
    x = 59,282,049,810.41/280,482.07
  6. Step 6: Final answer
    x = 211,357.72

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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.