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Finding the Fourth Proportional to 476,007.60, 714,043.80 and 139,047.60

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Solution

The fourth proportional to 476,007.60, 714,043.80 and 139,047.60 is: 208,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,007.60 : 714,043.80 = 139,047.60 : x
  2. Step 2: Convert to fraction form
    476,007.60/714,043.80 = 139,047.60/x
  3. Step 3: Cross multiply
    476,007.60x = 714,043.80 × 139,047.60
  4. Step 4: Simplify right side
    476,007.60x = 99,286,076,684.88
  5. Step 5: Solve for x
    x = 99,286,076,684.88/476,007.60
  6. Step 6: Final answer
    x = 208,580.86

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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.