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Finding the Fourth Proportional to 280,187.36, 386,659.84 and 152,865.60

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Solution

The fourth proportional to 280,187.36, 386,659.84 and 152,865.60 is: 210,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,187.36 : 386,659.84 = 152,865.60 : x
  2. Step 2: Convert to fraction form
    280,187.36/386,659.84 = 152,865.60/x
  3. Step 3: Cross multiply
    280,187.36x = 386,659.84 × 152,865.60
  4. Step 4: Simplify right side
    280,187.36x = 59,106,988,437.50
  5. Step 5: Solve for x
    x = 59,106,988,437.50/280,187.36
  6. Step 6: Final answer
    x = 210,955.23

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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.