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Finding the Fourth Proportional to 476,898.56, 715,954.84 and 309,120.95

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Solution

The fourth proportional to 476,898.56, 715,954.84 and 309,120.95 is: 464,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,898.56 : 715,954.84 = 309,120.95 : x
  2. Step 2: Convert to fraction form
    476,898.56/715,954.84 = 309,120.95/x
  3. Step 3: Cross multiply
    476,898.56x = 715,954.84 × 309,120.95
  4. Step 4: Simplify right side
    476,898.56x = 221,316,643,053.79
  5. Step 5: Solve for x
    x = 221,316,643,053.79/476,898.56
  6. Step 6: Final answer
    x = 464,074.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.