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Finding the Fourth Proportional to 306,817.74, 423,046.19 and 210,068.51

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Solution

The fourth proportional to 306,817.74, 423,046.19 and 210,068.51 is: 289,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,817.74 : 423,046.19 = 210,068.51 : x
  2. Step 2: Convert to fraction form
    306,817.74/423,046.19 = 210,068.51/x
  3. Step 3: Cross multiply
    306,817.74x = 423,046.19 × 210,068.51
  4. Step 4: Simplify right side
    306,817.74x = 88,868,681,204.42
  5. Step 5: Solve for x
    x = 88,868,681,204.42/306,817.74
  6. Step 6: Final answer
    x = 289,646.49

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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.