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Finding the Fourth Proportional to 700,602, 966,853.80 and 382,650

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Solution

The fourth proportional to 700,602, 966,853.80 and 382,650 is: 528,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,602 : 966,853.80 = 382,650 : x
  2. Step 2: Convert to fraction form
    700,602/966,853.80 = 382,650/x
  3. Step 3: Cross multiply
    700,602x = 966,853.80 × 382,650
  4. Step 4: Simplify right side
    700,602x = 369,966,606,570
  5. Step 5: Solve for x
    x = 369,966,606,570/700,602
  6. Step 6: Final answer
    x = 528,069.58

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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.