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Finding the Fourth Proportional to 348,000.30, 522,072.45 and 198,312.30

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Solution

The fourth proportional to 348,000.30, 522,072.45 and 198,312.30 is: 297,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,000.30 : 522,072.45 = 198,312.30 : x
  2. Step 2: Convert to fraction form
    348,000.30/522,072.45 = 198,312.30/x
  3. Step 3: Cross multiply
    348,000.30x = 522,072.45 × 198,312.30
  4. Step 4: Simplify right side
    348,000.30x = 103,533,388,326.14
  5. Step 5: Solve for x
    x = 103,533,388,326.14/348,000.30
  6. Step 6: Final answer
    x = 297,509.48

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1.5x scale

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.