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Finding the Fourth Proportional to 513,830.80, 770,746.20 and 139,853.20

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Solution

The fourth proportional to 513,830.80, 770,746.20 and 139,853.20 is: 209,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,830.80 : 770,746.20 = 139,853.20 : x
  2. Step 2: Convert to fraction form
    513,830.80/770,746.20 = 139,853.20/x
  3. Step 3: Cross multiply
    513,830.80x = 770,746.20 × 139,853.20
  4. Step 4: Simplify right side
    513,830.80x = 107,791,322,457.84
  5. Step 5: Solve for x
    x = 107,791,322,457.84/513,830.80
  6. Step 6: Final answer
    x = 209,779.80

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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.