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Finding the Fourth Proportional to 687,087.76, 948,190.44 and 514,700.32

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Solution

The fourth proportional to 687,087.76, 948,190.44 and 514,700.32 is: 710,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,087.76 : 948,190.44 = 514,700.32 : x
  2. Step 2: Convert to fraction form
    687,087.76/948,190.44 = 514,700.32/x
  3. Step 3: Cross multiply
    687,087.76x = 948,190.44 × 514,700.32
  4. Step 4: Simplify right side
    687,087.76x = 488,033,922,888.94
  5. Step 5: Solve for x
    x = 488,033,922,888.94/687,087.76
  6. Step 6: Final answer
    x = 710,293.43

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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.