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Finding the Fourth Proportional to 258,492.94, 356,692.98 and 143,752.96

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Solution

The fourth proportional to 258,492.94, 356,692.98 and 143,752.96 is: 198,363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,492.94 : 356,692.98 = 143,752.96 : x
  2. Step 2: Convert to fraction form
    258,492.94/356,692.98 = 143,752.96/x
  3. Step 3: Cross multiply
    258,492.94x = 356,692.98 × 143,752.96
  4. Step 4: Simplify right side
    258,492.94x = 51,275,671,686.22
  5. Step 5: Solve for x
    x = 51,275,671,686.22/258,492.94
  6. Step 6: Final answer
    x = 198,363.92

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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.