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Finding the Fourth Proportional to 486,078.30, 729,117.45 and 309,368.70

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Solution

The fourth proportional to 486,078.30, 729,117.45 and 309,368.70 is: 464,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,078.30 : 729,117.45 = 309,368.70 : x
  2. Step 2: Convert to fraction form
    486,078.30/729,117.45 = 309,368.70/x
  3. Step 3: Cross multiply
    486,078.30x = 729,117.45 × 309,368.70
  4. Step 4: Simplify right side
    486,078.30x = 225,566,117,653.82
  5. Step 5: Solve for x
    x = 225,566,117,653.82/486,078.30
  6. Step 6: Final answer
    x = 464,053.05

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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.