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Finding the Fourth Proportional to 428,783.49, 591,700.95 and 237,792.78

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Solution

The fourth proportional to 428,783.49, 591,700.95 and 237,792.78 is: 328,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,783.49 : 591,700.95 = 237,792.78 : x
  2. Step 2: Convert to fraction form
    428,783.49/591,700.95 = 237,792.78/x
  3. Step 3: Cross multiply
    428,783.49x = 591,700.95 × 237,792.78
  4. Step 4: Simplify right side
    428,783.49x = 140,702,213,829.14
  5. Step 5: Solve for x
    x = 140,702,213,829.14/428,783.49
  6. Step 6: Final answer
    x = 328,142.80

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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.