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Finding the Fourth Proportional to 304,894.81, 457,098 and 144,890.45

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Solution

The fourth proportional to 304,894.81, 457,098 and 144,890.45 is: 217,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,894.81 : 457,098 = 144,890.45 : x
  2. Step 2: Convert to fraction form
    304,894.81/457,098 = 144,890.45/x
  3. Step 3: Cross multiply
    304,894.81x = 457,098 × 144,890.45
  4. Step 4: Simplify right side
    304,894.81x = 66,229,134,914.10
  5. Step 5: Solve for x
    x = 66,229,134,914.10/304,894.81
  6. Step 6: Final answer
    x = 217,219.62

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1.5x scale

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.