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Finding the Fourth Proportional to 975,659.42, 1,463,489.14 and 643,157.66

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Solution

The fourth proportional to 975,659.42, 1,463,489.14 and 643,157.66 is: 964,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,659.42 : 1,463,489.14 = 643,157.66 : x
  2. Step 2: Convert to fraction form
    975,659.42/1,463,489.14 = 643,157.66/x
  3. Step 3: Cross multiply
    975,659.42x = 1,463,489.14 × 643,157.66
  4. Step 4: Simplify right side
    975,659.42x = 941,254,250,717.81
  5. Step 5: Solve for x
    x = 941,254,250,717.81/975,659.42
  6. Step 6: Final answer
    x = 964,736.50

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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.