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Finding the Fourth Proportional to 280,143.82, 386,595.98 and 152,816.68

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Solution

The fourth proportional to 280,143.82, 386,595.98 and 152,816.68 is: 210,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,143.82 : 386,595.98 = 152,816.68 : x
  2. Step 2: Convert to fraction form
    280,143.82/386,595.98 = 152,816.68/x
  3. Step 3: Cross multiply
    280,143.82x = 386,595.98 × 152,816.68
  4. Step 4: Simplify right side
    280,143.82x = 59,078,314,164.95
  5. Step 5: Solve for x
    x = 59,078,314,164.95/280,143.82
  6. Step 6: Final answer
    x = 210,885.66

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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.