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Finding the Fourth Proportional to 315,415.65, 470,709.72 and 281,757.72

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Solution

The fourth proportional to 315,415.65, 470,709.72 and 281,757.72 is: 420,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,415.65 : 470,709.72 = 281,757.72 : x
  2. Step 2: Convert to fraction form
    315,415.65/470,709.72 = 281,757.72/x
  3. Step 3: Cross multiply
    315,415.65x = 470,709.72 × 281,757.72
  4. Step 4: Simplify right side
    315,415.65x = 132,626,098,461.76
  5. Step 5: Solve for x
    x = 132,626,098,461.76/315,415.65
  6. Step 6: Final answer
    x = 420,480.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.