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Finding the Fourth Proportional to 360,236, 497,156.40 and 201,290.72

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Solution

The fourth proportional to 360,236, 497,156.40 and 201,290.72 is: 277,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,236 : 497,156.40 = 201,290.72 : x
  2. Step 2: Convert to fraction form
    360,236/497,156.40 = 201,290.72/x
  3. Step 3: Cross multiply
    360,236x = 497,156.40 × 201,290.72
  4. Step 4: Simplify right side
    360,236x = 100,072,969,708.61
  5. Step 5: Solve for x
    x = 100,072,969,708.61/360,236
  6. Step 6: Final answer
    x = 277,798.36

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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.