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Finding the Fourth Proportional to 489,417.71, 675,686 and 308,284.90

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Solution

The fourth proportional to 489,417.71, 675,686 and 308,284.90 is: 425,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,417.71 : 675,686 = 308,284.90 : x
  2. Step 2: Convert to fraction form
    489,417.71/675,686 = 308,284.90/x
  3. Step 3: Cross multiply
    489,417.71x = 675,686 × 308,284.90
  4. Step 4: Simplify right side
    489,417.71x = 208,303,790,941.40
  5. Step 5: Solve for x
    x = 208,303,790,941.40/489,417.71
  6. Step 6: Final answer
    x = 425,615.56

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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.