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Finding the Fourth Proportional to 417,547.53, 626,636.17 and 305,516.79

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Solution

The fourth proportional to 417,547.53, 626,636.17 and 305,516.79 is: 458,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,547.53 : 626,636.17 = 305,516.79 : x
  2. Step 2: Convert to fraction form
    417,547.53/626,636.17 = 305,516.79/x
  3. Step 3: Cross multiply
    417,547.53x = 626,636.17 × 305,516.79
  4. Step 4: Simplify right side
    417,547.53x = 191,447,870,635.04
  5. Step 5: Solve for x
    x = 191,447,870,635.04/417,547.53
  6. Step 6: Final answer
    x = 458,505.57

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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.