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Finding the Fourth Proportional to 385,312.74, 531,707.10 and 210,847.56

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Solution

The fourth proportional to 385,312.74, 531,707.10 and 210,847.56 is: 290,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,312.74 : 531,707.10 = 210,847.56 : x
  2. Step 2: Convert to fraction form
    385,312.74/531,707.10 = 210,847.56/x
  3. Step 3: Cross multiply
    385,312.74x = 531,707.10 × 210,847.56
  4. Step 4: Simplify right side
    385,312.74x = 112,109,144,669.68
  5. Step 5: Solve for x
    x = 112,109,144,669.68/385,312.74
  6. Step 6: Final answer
    x = 290,956.24

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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.