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Finding the Fourth Proportional to 455,978.24, 683,976.96 and 156,457.28

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Solution

The fourth proportional to 455,978.24, 683,976.96 and 156,457.28 is: 234,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,978.24 : 683,976.96 = 156,457.28 : x
  2. Step 2: Convert to fraction form
    455,978.24/683,976.96 = 156,457.28/x
  3. Step 3: Cross multiply
    455,978.24x = 683,976.96 × 156,457.28
  4. Step 4: Simplify right side
    455,978.24x = 107,013,174,744.27
  5. Step 5: Solve for x
    x = 107,013,174,744.27/455,978.24
  6. Step 6: Final answer
    x = 234,689.21

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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.