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Finding the Fourth Proportional to 291,847.34, 402,749.33 and 157,711.34

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Solution

The fourth proportional to 291,847.34, 402,749.33 and 157,711.34 is: 217,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,847.34 : 402,749.33 = 157,711.34 : x
  2. Step 2: Convert to fraction form
    291,847.34/402,749.33 = 157,711.34/x
  3. Step 3: Cross multiply
    291,847.34x = 402,749.33 × 157,711.34
  4. Step 4: Simplify right side
    291,847.34x = 63,518,136,518.40
  5. Step 5: Solve for x
    x = 63,518,136,518.40/291,847.34
  6. Step 6: Final answer
    x = 217,641.65

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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.