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Finding the Fourth Proportional to 280,094.87, 386,536.17 and 152,775.02

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Solution

The fourth proportional to 280,094.87, 386,536.17 and 152,775.02 is: 210,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,094.87 : 386,536.17 = 152,775.02 : x
  2. Step 2: Convert to fraction form
    280,094.87/386,536.17 = 152,775.02/x
  3. Step 3: Cross multiply
    280,094.87x = 386,536.17 × 152,775.02
  4. Step 4: Simplify right side
    280,094.87x = 59,053,069,169.79
  5. Step 5: Solve for x
    x = 59,053,069,169.79/280,094.87
  6. Step 6: Final answer
    x = 210,832.39

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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.