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Finding the Fourth Proportional to 417,653.40, 626,091.30 and 291,293.40

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Solution

The fourth proportional to 417,653.40, 626,091.30 and 291,293.40 is: 436,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,653.40 : 626,091.30 = 291,293.40 : x
  2. Step 2: Convert to fraction form
    417,653.40/626,091.30 = 291,293.40/x
  3. Step 3: Cross multiply
    417,653.40x = 626,091.30 × 291,293.40
  4. Step 4: Simplify right side
    417,653.40x = 182,376,263,487.42
  5. Step 5: Solve for x
    x = 182,376,263,487.42/417,653.40
  6. Step 6: Final answer
    x = 436,668.93

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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.