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Finding the Fourth Proportional to 307,000.48, 459,650.40 and 156,917.60

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Solution

The fourth proportional to 307,000.48, 459,650.40 and 156,917.60 is: 234,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,000.48 : 459,650.40 = 156,917.60 : x
  2. Step 2: Convert to fraction form
    307,000.48/459,650.40 = 156,917.60/x
  3. Step 3: Cross multiply
    307,000.48x = 459,650.40 × 156,917.60
  4. Step 4: Simplify right side
    307,000.48x = 72,127,237,607.04
  5. Step 5: Solve for x
    x = 72,127,237,607.04/307,000.48
  6. Step 6: Final answer
    x = 234,941.77

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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.