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Finding the Fourth Proportional to 397,402.40, 594,548.40 and 257,434.40

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Solution

The fourth proportional to 397,402.40, 594,548.40 and 257,434.40 is: 385,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,402.40 : 594,548.40 = 257,434.40 : x
  2. Step 2: Convert to fraction form
    397,402.40/594,548.40 = 257,434.40/x
  3. Step 3: Cross multiply
    397,402.40x = 594,548.40 × 257,434.40
  4. Step 4: Simplify right side
    397,402.40x = 153,057,210,624.96
  5. Step 5: Solve for x
    x = 153,057,210,624.96/397,402.40
  6. Step 6: Final answer
    x = 385,144.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.