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Finding the Fourth Proportional to 513,702.47, 770,429.07 and 214,019.55

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Solution

The fourth proportional to 513,702.47, 770,429.07 and 214,019.55 is: 320,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,702.47 : 770,429.07 = 214,019.55 : x
  2. Step 2: Convert to fraction form
    513,702.47/770,429.07 = 214,019.55/x
  3. Step 3: Cross multiply
    513,702.47x = 770,429.07 × 214,019.55
  4. Step 4: Simplify right side
    513,702.47x = 164,886,882,868.32
  5. Step 5: Solve for x
    x = 164,886,882,868.32/513,702.47
  6. Step 6: Final answer
    x = 320,977.40

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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.