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Finding the Fourth Proportional to 698,316, 963,682.56 and 396,516.48

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Solution

The fourth proportional to 698,316, 963,682.56 and 396,516.48 is: 547,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,316 : 963,682.56 = 396,516.48 : x
  2. Step 2: Convert to fraction form
    698,316/963,682.56 = 396,516.48/x
  3. Step 3: Cross multiply
    698,316x = 963,682.56 × 396,516.48
  4. Step 4: Simplify right side
    698,316x = 382,116,016,528.59
  5. Step 5: Solve for x
    x = 382,116,016,528.59/698,316
  6. Step 6: Final answer
    x = 547,196.42

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1.5x scale

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.