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Finding the Fourth Proportional to 718,911, 1,078,272.81 and 213,461.82

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Solution

The fourth proportional to 718,911, 1,078,272.81 and 213,461.82 is: 320,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,911 : 1,078,272.81 = 213,461.82 : x
  2. Step 2: Convert to fraction form
    718,911/1,078,272.81 = 213,461.82/x
  3. Step 3: Cross multiply
    718,911x = 1,078,272.81 × 213,461.82
  4. Step 4: Simplify right side
    718,911x = 230,170,076,479.11
  5. Step 5: Solve for x
    x = 230,170,076,479.11/718,911
  6. Step 6: Final answer
    x = 320,164.91

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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.