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Finding the Fourth Proportional to 371,312.68, 512,410.98 and 210,164.84

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Solution

The fourth proportional to 371,312.68, 512,410.98 and 210,164.84 is: 290,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,312.68 : 512,410.98 = 210,164.84 : x
  2. Step 2: Convert to fraction form
    371,312.68/512,410.98 = 210,164.84/x
  3. Step 3: Cross multiply
    371,312.68x = 512,410.98 × 210,164.84
  4. Step 4: Simplify right side
    371,312.68x = 107,690,771,625.94
  5. Step 5: Solve for x
    x = 107,690,771,625.94/371,312.68
  6. Step 6: Final answer
    x = 290,027.19

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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.