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Finding the Fourth Proportional to 421,897.71, 633,283.98 and 282,629.55

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Solution

The fourth proportional to 421,897.71, 633,283.98 and 282,629.55 is: 424,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,897.71 : 633,283.98 = 282,629.55 : x
  2. Step 2: Convert to fraction form
    421,897.71/633,283.98 = 282,629.55/x
  3. Step 3: Cross multiply
    421,897.71x = 633,283.98 × 282,629.55
  4. Step 4: Simplify right side
    421,897.71x = 178,984,766,289.61
  5. Step 5: Solve for x
    x = 178,984,766,289.61/421,897.71
  6. Step 6: Final answer
    x = 424,237.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.