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Finding the Fourth Proportional to 340,364.89, 510,428.28 and 100,415.06

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Solution

The fourth proportional to 340,364.89, 510,428.28 and 100,415.06 is: 150,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,364.89 : 510,428.28 = 100,415.06 : x
  2. Step 2: Convert to fraction form
    340,364.89/510,428.28 = 100,415.06/x
  3. Step 3: Cross multiply
    340,364.89x = 510,428.28 × 100,415.06
  4. Step 4: Simplify right side
    340,364.89x = 51,254,686,100.42
  5. Step 5: Solve for x
    x = 51,254,686,100.42/340,364.89
  6. Step 6: Final answer
    x = 150,587.47

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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.