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Finding the Fourth Proportional to 580,295.16, 870,258.42 and 186,219

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Solution

The fourth proportional to 580,295.16, 870,258.42 and 186,219 is: 279,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,295.16 : 870,258.42 = 186,219 : x
  2. Step 2: Convert to fraction form
    580,295.16/870,258.42 = 186,219/x
  3. Step 3: Cross multiply
    580,295.16x = 870,258.42 × 186,219
  4. Step 4: Simplify right side
    580,295.16x = 162,058,652,713.98
  5. Step 5: Solve for x
    x = 162,058,652,713.98/580,295.16
  6. Step 6: Final answer
    x = 279,269.35

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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.