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Finding the Fourth Proportional to 457,139.16, 685,818.22 and 190,751.50

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Solution

The fourth proportional to 457,139.16, 685,818.22 and 190,751.50 is: 286,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,139.16 : 685,818.22 = 190,751.50 : x
  2. Step 2: Convert to fraction form
    457,139.16/685,818.22 = 190,751.50/x
  3. Step 3: Cross multiply
    457,139.16x = 685,818.22 × 190,751.50
  4. Step 4: Simplify right side
    457,139.16x = 130,820,854,192.33
  5. Step 5: Solve for x
    x = 130,820,854,192.33/457,139.16
  6. Step 6: Final answer
    x = 286,172.93

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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.