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Finding the Fourth Proportional to 286,342.32, 395,210.46 and 165,488.70

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Solution

The fourth proportional to 286,342.32, 395,210.46 and 165,488.70 is: 228,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,342.32 : 395,210.46 = 165,488.70 : x
  2. Step 2: Convert to fraction form
    286,342.32/395,210.46 = 165,488.70/x
  3. Step 3: Cross multiply
    286,342.32x = 395,210.46 × 165,488.70
  4. Step 4: Simplify right side
    286,342.32x = 65,402,865,251.80
  5. Step 5: Solve for x
    x = 65,402,865,251.80/286,342.32
  6. Step 6: Final answer
    x = 228,407.96

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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.