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Finding the Fourth Proportional to 369,466.65, 509,863.14 and 208,320.76

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Solution

The fourth proportional to 369,466.65, 509,863.14 and 208,320.76 is: 287,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,466.65 : 509,863.14 = 208,320.76 : x
  2. Step 2: Convert to fraction form
    369,466.65/509,863.14 = 208,320.76/x
  3. Step 3: Cross multiply
    369,466.65x = 509,863.14 × 208,320.76
  4. Step 4: Simplify right side
    369,466.65x = 106,215,077,458.12
  5. Step 5: Solve for x
    x = 106,215,077,458.12/369,466.65
  6. Step 6: Final answer
    x = 287,482.18

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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.