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Finding the Fourth Proportional to 645,702.96, 968,559.30 and 224,978.16

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Solution

The fourth proportional to 645,702.96, 968,559.30 and 224,978.16 is: 337,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,702.96 : 968,559.30 = 224,978.16 : x
  2. Step 2: Convert to fraction form
    645,702.96/968,559.30 = 224,978.16/x
  3. Step 3: Cross multiply
    645,702.96x = 968,559.30 × 224,978.16
  4. Step 4: Simplify right side
    645,702.96x = 217,904,689,164.89
  5. Step 5: Solve for x
    x = 217,904,689,164.89/645,702.96
  6. Step 6: Final answer
    x = 337,468.93

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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.