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Finding the Fourth Proportional to 285,546.60, 427,941.90 and 152,139.60

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Solution

The fourth proportional to 285,546.60, 427,941.90 and 152,139.60 is: 228,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,546.60 : 427,941.90 = 152,139.60 : x
  2. Step 2: Convert to fraction form
    285,546.60/427,941.90 = 152,139.60/x
  3. Step 3: Cross multiply
    285,546.60x = 427,941.90 × 152,139.60
  4. Step 4: Simplify right side
    285,546.60x = 65,106,909,489.24
  5. Step 5: Solve for x
    x = 65,106,909,489.24/285,546.60
  6. Step 6: Final answer
    x = 228,008.00

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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.