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Finding the Fourth Proportional to 340,018, 469,224.84 and 189,111.76

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Solution

The fourth proportional to 340,018, 469,224.84 and 189,111.76 is: 260,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,018 : 469,224.84 = 189,111.76 : x
  2. Step 2: Convert to fraction form
    340,018/469,224.84 = 189,111.76/x
  3. Step 3: Cross multiply
    340,018x = 469,224.84 × 189,111.76
  4. Step 4: Simplify right side
    340,018x = 88,735,935,328.12
  5. Step 5: Solve for x
    x = 88,735,935,328.12/340,018
  6. Step 6: Final answer
    x = 260,974.23

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1.5x scale

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.