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Finding the Fourth Proportional to 498,276.90, 747,415.35 and 274,328.10

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Solution

The fourth proportional to 498,276.90, 747,415.35 and 274,328.10 is: 411,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,276.90 : 747,415.35 = 274,328.10 : x
  2. Step 2: Convert to fraction form
    498,276.90/747,415.35 = 274,328.10/x
  3. Step 3: Cross multiply
    498,276.90x = 747,415.35 × 274,328.10
  4. Step 4: Simplify right side
    498,276.90x = 205,037,032,876.34
  5. Step 5: Solve for x
    x = 205,037,032,876.34/498,276.90
  6. Step 6: Final answer
    x = 411,492.15

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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.