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Finding the Fourth Proportional to 315,278.10, 435,075.57 and 172,039.86

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Solution

The fourth proportional to 315,278.10, 435,075.57 and 172,039.86 is: 237,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,278.10 : 435,075.57 = 172,039.86 : x
  2. Step 2: Convert to fraction form
    315,278.10/435,075.57 = 172,039.86/x
  3. Step 3: Cross multiply
    315,278.10x = 435,075.57 × 172,039.86
  4. Step 4: Simplify right side
    315,278.10x = 74,850,340,152.22
  5. Step 5: Solve for x
    x = 74,850,340,152.22/315,278.10
  6. Step 6: Final answer
    x = 237,410.53

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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.