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Finding the Fourth Proportional to 611,314.10, 917,011.65 and 162,028.70

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Solution

The fourth proportional to 611,314.10, 917,011.65 and 162,028.70 is: 243,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,314.10 : 917,011.65 = 162,028.70 : x
  2. Step 2: Convert to fraction form
    611,314.10/917,011.65 = 162,028.70/x
  3. Step 3: Cross multiply
    611,314.10x = 917,011.65 × 162,028.70
  4. Step 4: Simplify right side
    611,314.10x = 148,582,205,534.36
  5. Step 5: Solve for x
    x = 148,582,205,534.36/611,314.10
  6. Step 6: Final answer
    x = 243,053.78

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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.