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Finding the Fourth Proportional to 703,611.78, 971,032.85 and 428,077.14

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Solution

The fourth proportional to 703,611.78, 971,032.85 and 428,077.14 is: 590,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,611.78 : 971,032.85 = 428,077.14 : x
  2. Step 2: Convert to fraction form
    703,611.78/971,032.85 = 428,077.14/x
  3. Step 3: Cross multiply
    703,611.78x = 971,032.85 × 428,077.14
  4. Step 4: Simplify right side
    703,611.78x = 415,676,963,133.66
  5. Step 5: Solve for x
    x = 415,676,963,133.66/703,611.78
  6. Step 6: Final answer
    x = 590,776.01

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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.