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Finding the Fourth Proportional to 722,708.20, 997,377.71 and 412,702.32

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Solution

The fourth proportional to 722,708.20, 997,377.71 and 412,702.32 is: 569,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,708.20 : 997,377.71 = 412,702.32 : x
  2. Step 2: Convert to fraction form
    722,708.20/997,377.71 = 412,702.32/x
  3. Step 3: Cross multiply
    722,708.20x = 997,377.71 × 412,702.32
  4. Step 4: Simplify right side
    722,708.20x = 411,620,088,094.57
  5. Step 5: Solve for x
    x = 411,620,088,094.57/722,708.20
  6. Step 6: Final answer
    x = 569,552.26

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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.