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Finding the Fourth Proportional to 340,302.69, 510,415.16 and 91,004.13

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Solution

The fourth proportional to 340,302.69, 510,415.16 and 91,004.13 is: 136,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,302.69 : 510,415.16 = 91,004.13 : x
  2. Step 2: Convert to fraction form
    340,302.69/510,415.16 = 91,004.13/x
  3. Step 3: Cross multiply
    340,302.69x = 510,415.16 × 91,004.13
  4. Step 4: Simplify right side
    340,302.69x = 46,449,887,119.59
  5. Step 5: Solve for x
    x = 46,449,887,119.59/340,302.69
  6. Step 6: Final answer
    x = 136,495.80

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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.