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Finding the Fourth Proportional to 310,483.08, 428,216.04 and 208,477.80

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Solution

The fourth proportional to 310,483.08, 428,216.04 and 208,477.80 is: 287,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,483.08 : 428,216.04 = 208,477.80 : x
  2. Step 2: Convert to fraction form
    310,483.08/428,216.04 = 208,477.80/x
  3. Step 3: Cross multiply
    310,483.08x = 428,216.04 × 208,477.80
  4. Step 4: Simplify right side
    310,483.08x = 89,273,537,943.91
  5. Step 5: Solve for x
    x = 89,273,537,943.91/310,483.08
  6. Step 6: Final answer
    x = 287,531.09

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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.