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Finding the Fourth Proportional to 410,566.32, 619,007.76 and 403,218

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Solution

The fourth proportional to 410,566.32, 619,007.76 and 403,218 is: 607,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,566.32 : 619,007.76 = 403,218 : x
  2. Step 2: Convert to fraction form
    410,566.32/619,007.76 = 403,218/x
  3. Step 3: Cross multiply
    410,566.32x = 619,007.76 × 403,218
  4. Step 4: Simplify right side
    410,566.32x = 249,595,070,971.68
  5. Step 5: Solve for x
    x = 249,595,070,971.68/410,566.32
  6. Step 6: Final answer
    x = 607,928.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.