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Finding the Fourth Proportional to 407,366.76, 562,440.24 and 311,702.52

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Solution

The fourth proportional to 407,366.76, 562,440.24 and 311,702.52 is: 430,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,366.76 : 562,440.24 = 311,702.52 : x
  2. Step 2: Convert to fraction form
    407,366.76/562,440.24 = 311,702.52/x
  3. Step 3: Cross multiply
    407,366.76x = 562,440.24 × 311,702.52
  4. Step 4: Simplify right side
    407,366.76x = 175,314,040,157.41
  5. Step 5: Solve for x
    x = 175,314,040,157.41/407,366.76
  6. Step 6: Final answer
    x = 430,359.22

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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.