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Finding the Fourth Proportional to 315,762.42, 435,731.24 and 179,810.28

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Solution

The fourth proportional to 315,762.42, 435,731.24 and 179,810.28 is: 248,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,762.42 : 435,731.24 = 179,810.28 : x
  2. Step 2: Convert to fraction form
    315,762.42/435,731.24 = 179,810.28/x
  3. Step 3: Cross multiply
    315,762.42x = 435,731.24 × 179,810.28
  4. Step 4: Simplify right side
    315,762.42x = 78,348,956,269.15
  5. Step 5: Solve for x
    x = 78,348,956,269.15/315,762.42
  6. Step 6: Final answer
    x = 248,126.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.