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Finding the Fourth Proportional to 490,234.55, 735,352.40 and 153,276.98

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Solution

The fourth proportional to 490,234.55, 735,352.40 and 153,276.98 is: 229,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,234.55 : 735,352.40 = 153,276.98 : x
  2. Step 2: Convert to fraction form
    490,234.55/735,352.40 = 153,276.98/x
  3. Step 3: Cross multiply
    490,234.55x = 735,352.40 × 153,276.98
  4. Step 4: Simplify right side
    490,234.55x = 112,712,590,664.61
  5. Step 5: Solve for x
    x = 112,712,590,664.61/490,234.55
  6. Step 6: Final answer
    x = 229,915.64

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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.