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Finding the Fourth Proportional to 371,451.42, 512,597.70 and 210,302.28

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Solution

The fourth proportional to 371,451.42, 512,597.70 and 210,302.28 is: 290,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,451.42 : 512,597.70 = 210,302.28 : x
  2. Step 2: Convert to fraction form
    371,451.42/512,597.70 = 210,302.28/x
  3. Step 3: Cross multiply
    371,451.42x = 512,597.70 × 210,302.28
  4. Step 4: Simplify right side
    371,451.42x = 107,800,465,032.76
  5. Step 5: Solve for x
    x = 107,800,465,032.76/371,451.42
  6. Step 6: Final answer
    x = 290,214.17

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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.