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Finding the Fourth Proportional to 613,254.72, 919,886.16 and 213,894

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Solution

The fourth proportional to 613,254.72, 919,886.16 and 213,894 is: 320,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,254.72 : 919,886.16 = 213,894 : x
  2. Step 2: Convert to fraction form
    613,254.72/919,886.16 = 213,894/x
  3. Step 3: Cross multiply
    613,254.72x = 919,886.16 × 213,894
  4. Step 4: Simplify right side
    613,254.72x = 196,758,130,307.04
  5. Step 5: Solve for x
    x = 196,758,130,307.04/613,254.72
  6. Step 6: Final answer
    x = 320,842.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.