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Finding the Fourth Proportional to 313,359.40, 470,116.86 and 146,953

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Solution

The fourth proportional to 313,359.40, 470,116.86 and 146,953 is: 220,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,359.40 : 470,116.86 = 146,953 : x
  2. Step 2: Convert to fraction form
    313,359.40/470,116.86 = 146,953/x
  3. Step 3: Cross multiply
    313,359.40x = 470,116.86 × 146,953
  4. Step 4: Simplify right side
    313,359.40x = 69,085,082,927.58
  5. Step 5: Solve for x
    x = 69,085,082,927.58/313,359.40
  6. Step 6: Final answer
    x = 220,465.97

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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.