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Finding the Fourth Proportional to 386,442.80, 579,664.20 and 316,401.20

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Solution

The fourth proportional to 386,442.80, 579,664.20 and 316,401.20 is: 474,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,442.80 : 579,664.20 = 316,401.20 : x
  2. Step 2: Convert to fraction form
    386,442.80/579,664.20 = 316,401.20/x
  3. Step 3: Cross multiply
    386,442.80x = 579,664.20 × 316,401.20
  4. Step 4: Simplify right side
    386,442.80x = 183,406,448,477.04
  5. Step 5: Solve for x
    x = 183,406,448,477.04/386,442.80
  6. Step 6: Final answer
    x = 474,601.80

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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.