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Finding the Fourth Proportional to 427,427.50, 589,792.18 and 243,689.77

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Solution

The fourth proportional to 427,427.50, 589,792.18 and 243,689.77 is: 336,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,427.50 : 589,792.18 = 243,689.77 : x
  2. Step 2: Convert to fraction form
    427,427.50/589,792.18 = 243,689.77/x
  3. Step 3: Cross multiply
    427,427.50x = 589,792.18 × 243,689.77
  4. Step 4: Simplify right side
    427,427.50x = 143,726,320,692.00
  5. Step 5: Solve for x
    x = 143,726,320,692.00/427,427.50
  6. Step 6: Final answer
    x = 336,258.95

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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.