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Finding the Fourth Proportional to 208,730.98, 287,870.92 and 160,449.76

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Solution

The fourth proportional to 208,730.98, 287,870.92 and 160,449.76 is: 221,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,730.98 : 287,870.92 = 160,449.76 : x
  2. Step 2: Convert to fraction form
    208,730.98/287,870.92 = 160,449.76/x
  3. Step 3: Cross multiply
    208,730.98x = 287,870.92 × 160,449.76
  4. Step 4: Simplify right side
    208,730.98x = 46,188,820,024.98
  5. Step 5: Solve for x
    x = 46,188,820,024.98/208,730.98
  6. Step 6: Final answer
    x = 221,283.97

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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.