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Finding the Fourth Proportional to 340,428, 510,875.28 and 118,812

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Solution

The fourth proportional to 340,428, 510,875.28 and 118,812 is: 178,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,428 : 510,875.28 = 118,812 : x
  2. Step 2: Convert to fraction form
    340,428/510,875.28 = 118,812/x
  3. Step 3: Cross multiply
    340,428x = 510,875.28 × 118,812
  4. Step 4: Simplify right side
    340,428x = 60,698,113,767.36
  5. Step 5: Solve for x
    x = 60,698,113,767.36/340,428
  6. Step 6: Final answer
    x = 178,299.42

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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.