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Finding the Fourth Proportional to 683,283.84, 942,657.12 and 428,542.08

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Solution

The fourth proportional to 683,283.84, 942,657.12 and 428,542.08 is: 591,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,283.84 : 942,657.12 = 428,542.08 : x
  2. Step 2: Convert to fraction form
    683,283.84/942,657.12 = 428,542.08/x
  3. Step 3: Cross multiply
    683,283.84x = 942,657.12 × 428,542.08
  4. Step 4: Simplify right side
    683,283.84x = 403,968,242,931.61
  5. Step 5: Solve for x
    x = 403,968,242,931.61/683,283.84
  6. Step 6: Final answer
    x = 591,215.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.