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Finding the Fourth Proportional to 315,307.96, 434,385.66 and 219,641.56

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Solution

The fourth proportional to 315,307.96, 434,385.66 and 219,641.56 is: 302,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,307.96 : 434,385.66 = 219,641.56 : x
  2. Step 2: Convert to fraction form
    315,307.96/434,385.66 = 219,641.56/x
  3. Step 3: Cross multiply
    315,307.96x = 434,385.66 × 219,641.56
  4. Step 4: Simplify right side
    315,307.96x = 95,409,144,004.03
  5. Step 5: Solve for x
    x = 95,409,144,004.03/315,307.96
  6. Step 6: Final answer
    x = 302,590.34

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1.5x scale

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.