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Finding the Fourth Proportional to 315,758.34, 435,741.36 and 172,515.30

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Solution

The fourth proportional to 315,758.34, 435,741.36 and 172,515.30 is: 238,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,758.34 : 435,741.36 = 172,515.30 : x
  2. Step 2: Convert to fraction form
    315,758.34/435,741.36 = 172,515.30/x
  3. Step 3: Cross multiply
    315,758.34x = 435,741.36 × 172,515.30
  4. Step 4: Simplify right side
    315,758.34x = 75,172,051,442.81
  5. Step 5: Solve for x
    x = 75,172,051,442.81/315,758.34
  6. Step 6: Final answer
    x = 238,068.30

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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.