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Finding the Fourth Proportional to 524,705.21, 724,026.71 and 298,355.57

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Solution

The fourth proportional to 524,705.21, 724,026.71 and 298,355.57 is: 411,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,705.21 : 724,026.71 = 298,355.57 : x
  2. Step 2: Convert to fraction form
    524,705.21/724,026.71 = 298,355.57/x
  3. Step 3: Cross multiply
    524,705.21x = 724,026.71 × 298,355.57
  4. Step 4: Simplify right side
    524,705.21x = 216,017,400,265.50
  5. Step 5: Solve for x
    x = 216,017,400,265.50/524,705.21
  6. Step 6: Final answer
    x = 411,692.88

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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.