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Finding the Fourth Proportional to 472,140, 651,553.20 and 260,172

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Solution

The fourth proportional to 472,140, 651,553.20 and 260,172 is: 359,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,140 : 651,553.20 = 260,172 : x
  2. Step 2: Convert to fraction form
    472,140/651,553.20 = 260,172/x
  3. Step 3: Cross multiply
    472,140x = 651,553.20 × 260,172
  4. Step 4: Simplify right side
    472,140x = 169,515,899,150.40
  5. Step 5: Solve for x
    x = 169,515,899,150.40/472,140
  6. Step 6: Final answer
    x = 359,037.36

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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.