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Finding the Fourth Proportional to 561,458.63, 841,391.81 and 434,507.91

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Solution

The fourth proportional to 561,458.63, 841,391.81 and 434,507.91 is: 651,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,458.63 : 841,391.81 = 434,507.91 : x
  2. Step 2: Convert to fraction form
    561,458.63/841,391.81 = 434,507.91/x
  3. Step 3: Cross multiply
    561,458.63x = 841,391.81 × 434,507.91
  4. Step 4: Simplify right side
    561,458.63x = 365,591,397,940.49
  5. Step 5: Solve for x
    x = 365,591,397,940.49/561,458.63
  6. Step 6: Final answer
    x = 651,145.74

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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.