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Finding the Fourth Proportional to 700,681, 966,943.62 and 382,729

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Solution

The fourth proportional to 700,681, 966,943.62 and 382,729 is: 528,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,681 : 966,943.62 = 382,729 : x
  2. Step 2: Convert to fraction form
    700,681/966,943.62 = 382,729/x
  3. Step 3: Cross multiply
    700,681x = 966,943.62 × 382,729
  4. Step 4: Simplify right side
    700,681x = 370,077,364,738.98
  5. Step 5: Solve for x
    x = 370,077,364,738.98/700,681
  6. Step 6: Final answer
    x = 528,168.12

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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.