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Finding the Fourth Proportional to 388,022.34, 535,465.34 and 218,256.42

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Solution

The fourth proportional to 388,022.34, 535,465.34 and 218,256.42 is: 301,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,022.34 : 535,465.34 = 218,256.42 : x
  2. Step 2: Convert to fraction form
    388,022.34/535,465.34 = 218,256.42/x
  3. Step 3: Cross multiply
    388,022.34x = 535,465.34 × 218,256.42
  4. Step 4: Simplify right side
    388,022.34x = 116,868,748,142.48
  5. Step 5: Solve for x
    x = 116,868,748,142.48/388,022.34
  6. Step 6: Final answer
    x = 301,190.77

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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.