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Finding the Fourth Proportional to 400,434, 552,598.83 and 219,146.01

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Solution

The fourth proportional to 400,434, 552,598.83 and 219,146.01 is: 302,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,434 : 552,598.83 = 219,146.01 : x
  2. Step 2: Convert to fraction form
    400,434/552,598.83 = 219,146.01/x
  3. Step 3: Cross multiply
    400,434x = 552,598.83 × 219,146.01
  4. Step 4: Simplify right side
    400,434x = 121,099,828,725.17
  5. Step 5: Solve for x
    x = 121,099,828,725.17/400,434
  6. Step 6: Final answer
    x = 302,421.44

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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.