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Finding the Fourth Proportional to 208,299.52, 287,143.68 and 163,509.76

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Solution

The fourth proportional to 208,299.52, 287,143.68 and 163,509.76 is: 225,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,299.52 : 287,143.68 = 163,509.76 : x
  2. Step 2: Convert to fraction form
    208,299.52/287,143.68 = 163,509.76/x
  3. Step 3: Cross multiply
    208,299.52x = 287,143.68 × 163,509.76
  4. Step 4: Simplify right side
    208,299.52x = 46,950,794,202.32
  5. Step 5: Solve for x
    x = 46,950,794,202.32/208,299.52
  6. Step 6: Final answer
    x = 225,400.40

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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.