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Finding the Fourth Proportional to 280,441.32, 387,009 and 153,117.02

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Solution

The fourth proportional to 280,441.32, 387,009 and 153,117.02 is: 211,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,441.32 : 387,009 = 153,117.02 : x
  2. Step 2: Convert to fraction form
    280,441.32/387,009 = 153,117.02/x
  3. Step 3: Cross multiply
    280,441.32x = 387,009 × 153,117.02
  4. Step 4: Simplify right side
    280,441.32x = 59,257,662,858.14
  5. Step 5: Solve for x
    x = 59,257,662,858.14/280,441.32
  6. Step 6: Final answer
    x = 211,301.47

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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.