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Finding the Fourth Proportional to 384,901.40, 531,147.20 and 210,468.40

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Solution

The fourth proportional to 384,901.40, 531,147.20 and 210,468.40 is: 290,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,901.40 : 531,147.20 = 210,468.40 : x
  2. Step 2: Convert to fraction form
    384,901.40/531,147.20 = 210,468.40/x
  3. Step 3: Cross multiply
    384,901.40x = 531,147.20 × 210,468.40
  4. Step 4: Simplify right side
    384,901.40x = 111,789,701,348.48
  5. Step 5: Solve for x
    x = 111,789,701,348.48/384,901.40
  6. Step 6: Final answer
    x = 290,437.24

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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.