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Finding the Fourth Proportional to 340,298.98, 510,448.47 and 90,974.50

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Solution

The fourth proportional to 340,298.98, 510,448.47 and 90,974.50 is: 136,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,298.98 : 510,448.47 = 90,974.50 : x
  2. Step 2: Convert to fraction form
    340,298.98/510,448.47 = 90,974.50/x
  3. Step 3: Cross multiply
    340,298.98x = 510,448.47 × 90,974.50
  4. Step 4: Simplify right side
    340,298.98x = 46,437,794,334.02
  5. Step 5: Solve for x
    x = 46,437,794,334.02/340,298.98
  6. Step 6: Final answer
    x = 136,461.75

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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.