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Finding the Fourth Proportional to 286,415.51, 395,259.66 and 157,355.64

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Solution

The fourth proportional to 286,415.51, 395,259.66 and 157,355.64 is: 217,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,415.51 : 395,259.66 = 157,355.64 : x
  2. Step 2: Convert to fraction form
    286,415.51/395,259.66 = 157,355.64/x
  3. Step 3: Cross multiply
    286,415.51x = 395,259.66 × 157,355.64
  4. Step 4: Simplify right side
    286,415.51x = 62,196,336,765.48
  5. Step 5: Solve for x
    x = 62,196,336,765.48/286,415.51
  6. Step 6: Final answer
    x = 217,154.22

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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.