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Finding the Fourth Proportional to 323,547.60, 485,206.20 and 146,139.60

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Solution

The fourth proportional to 323,547.60, 485,206.20 and 146,139.60 is: 219,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,547.60 : 485,206.20 = 146,139.60 : x
  2. Step 2: Convert to fraction form
    323,547.60/485,206.20 = 146,139.60/x
  3. Step 3: Cross multiply
    323,547.60x = 485,206.20 × 146,139.60
  4. Step 4: Simplify right side
    323,547.60x = 70,907,839,985.52
  5. Step 5: Solve for x
    x = 70,907,839,985.52/323,547.60
  6. Step 6: Final answer
    x = 219,157.37

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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.