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Finding the Fourth Proportional to 315,624.42, 435,554.95 and 172,385.04

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Solution

The fourth proportional to 315,624.42, 435,554.95 and 172,385.04 is: 237,887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,624.42 : 435,554.95 = 172,385.04 : x
  2. Step 2: Convert to fraction form
    315,624.42/435,554.95 = 172,385.04/x
  3. Step 3: Cross multiply
    315,624.42x = 435,554.95 × 172,385.04
  4. Step 4: Simplify right side
    315,624.42x = 75,083,157,477.95
  5. Step 5: Solve for x
    x = 75,083,157,477.95/315,624.42
  6. Step 6: Final answer
    x = 237,887.67

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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.