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Finding the Fourth Proportional to 328,080, 452,620.80 and 207,176.16

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Solution

The fourth proportional to 328,080, 452,620.80 and 207,176.16 is: 285,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,080 : 452,620.80 = 207,176.16 : x
  2. Step 2: Convert to fraction form
    328,080/452,620.80 = 207,176.16/x
  3. Step 3: Cross multiply
    328,080x = 452,620.80 × 207,176.16
  4. Step 4: Simplify right side
    328,080x = 93,772,239,280.13
  5. Step 5: Solve for x
    x = 93,772,239,280.13/328,080
  6. Step 6: Final answer
    x = 285,821.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.