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Finding the Fourth Proportional to 315,798.09, 435,741.17 and 188,485.53

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Solution

The fourth proportional to 315,798.09, 435,741.17 and 188,485.53 is: 260,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,798.09 : 435,741.17 = 188,485.53 : x
  2. Step 2: Convert to fraction form
    315,798.09/435,741.17 = 188,485.53/x
  3. Step 3: Cross multiply
    315,798.09x = 435,741.17 × 188,485.53
  4. Step 4: Simplify right side
    315,798.09x = 82,130,904,427.84
  5. Step 5: Solve for x
    x = 82,130,904,427.84/315,798.09
  6. Step 6: Final answer
    x = 260,074.10

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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.