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Finding the Fourth Proportional to 208,313.84, 287,490.80 and 117,686.44

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Solution

The fourth proportional to 208,313.84, 287,490.80 and 117,686.44 is: 162,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,313.84 : 287,490.80 = 117,686.44 : x
  2. Step 2: Convert to fraction form
    208,313.84/287,490.80 = 117,686.44/x
  3. Step 3: Cross multiply
    208,313.84x = 287,490.80 × 117,686.44
  4. Step 4: Simplify right side
    208,313.84x = 33,833,768,784.75
  5. Step 5: Solve for x
    x = 33,833,768,784.75/208,313.84
  6. Step 6: Final answer
    x = 162,417.29

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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.