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Finding the Fourth Proportional to 1,157,978, 1,598,009.64 and 648,680.24

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Solution

The fourth proportional to 1,157,978, 1,598,009.64 and 648,680.24 is: 895,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,978 : 1,598,009.64 = 648,680.24 : x
  2. Step 2: Convert to fraction form
    1,157,978/1,598,009.64 = 648,680.24/x
  3. Step 3: Cross multiply
    1,157,978x = 1,598,009.64 × 648,680.24
  4. Step 4: Simplify right side
    1,157,978x = 1,036,597,276,797.51
  5. Step 5: Solve for x
    x = 1,036,597,276,797.51/1,157,978
  6. Step 6: Final answer
    x = 895,178.73

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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.