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Finding the Fourth Proportional to 487,049, 672,080.46 and 305,702.96

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Solution

The fourth proportional to 487,049, 672,080.46 and 305,702.96 is: 421,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,049 : 672,080.46 = 305,702.96 : x
  2. Step 2: Convert to fraction form
    487,049/672,080.46 = 305,702.96/x
  3. Step 3: Cross multiply
    487,049x = 672,080.46 × 305,702.96
  4. Step 4: Simplify right side
    487,049x = 205,456,985,980.16
  5. Step 5: Solve for x
    x = 205,456,985,980.16/487,049
  6. Step 6: Final answer
    x = 421,840.48

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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.