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Finding the Fourth Proportional to 315,924.18, 435,973.77 and 172,692.42

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Solution

The fourth proportional to 315,924.18, 435,973.77 and 172,692.42 is: 238,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,924.18 : 435,973.77 = 172,692.42 : x
  2. Step 2: Convert to fraction form
    315,924.18/435,973.77 = 172,692.42/x
  3. Step 3: Cross multiply
    315,924.18x = 435,973.77 × 172,692.42
  4. Step 4: Simplify right side
    315,924.18x = 75,289,365,397.82
  5. Step 5: Solve for x
    x = 75,289,365,397.82/315,924.18
  6. Step 6: Final answer
    x = 238,314.67

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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.