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Finding the Fourth Proportional to 499,733.76, 749,078.40 and 219,014.40

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Solution

The fourth proportional to 499,733.76, 749,078.40 and 219,014.40 is: 328,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,733.76 : 749,078.40 = 219,014.40 : x
  2. Step 2: Convert to fraction form
    499,733.76/749,078.40 = 219,014.40/x
  3. Step 3: Cross multiply
    499,733.76x = 749,078.40 × 219,014.40
  4. Step 4: Simplify right side
    499,733.76x = 164,058,956,328.96
  5. Step 5: Solve for x
    x = 164,058,956,328.96/499,733.76
  6. Step 6: Final answer
    x = 328,292.72

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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.