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Finding the Fourth Proportional to 611,285.96, 916,828.32 and 162,034.76

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Solution

The fourth proportional to 611,285.96, 916,828.32 and 162,034.76 is: 243,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,285.96 : 916,828.32 = 162,034.76 : x
  2. Step 2: Convert to fraction form
    611,285.96/916,828.32 = 162,034.76/x
  3. Step 3: Cross multiply
    611,285.96x = 916,828.32 × 162,034.76
  4. Step 4: Simplify right side
    611,285.96x = 148,558,056,792.40
  5. Step 5: Solve for x
    x = 148,558,056,792.40/611,285.96
  6. Step 6: Final answer
    x = 243,025.47

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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.