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Finding the Fourth Proportional to 340,085.79, 510,194.30 and 190,494.99

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Solution

The fourth proportional to 340,085.79, 510,194.30 and 190,494.99 is: 285,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,085.79 : 510,194.30 = 190,494.99 : x
  2. Step 2: Convert to fraction form
    340,085.79/510,194.30 = 190,494.99/x
  3. Step 3: Cross multiply
    340,085.79x = 510,194.30 × 190,494.99
  4. Step 4: Simplify right side
    340,085.79x = 97,189,457,124.08
  5. Step 5: Solve for x
    x = 97,189,457,124.08/340,085.79
  6. Step 6: Final answer
    x = 285,779.24

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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.