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Finding the Fourth Proportional to 397,405.40, 594,552.90 and 257,437.40

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Solution

The fourth proportional to 397,405.40, 594,552.90 and 257,437.40 is: 385,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,405.40 : 594,552.90 = 257,437.40 : x
  2. Step 2: Convert to fraction form
    397,405.40/594,552.90 = 257,437.40/x
  3. Step 3: Cross multiply
    397,405.40x = 594,552.90 × 257,437.40
  4. Step 4: Simplify right side
    397,405.40x = 153,060,152,738.46
  5. Step 5: Solve for x
    x = 153,060,152,738.46/397,405.40
  6. Step 6: Final answer
    x = 385,148.65

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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.