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Finding the Fourth Proportional to 430,794.90, 644,783.58 and 316,912.32

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Solution

The fourth proportional to 430,794.90, 644,783.58 and 316,912.32 is: 474,332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,794.90 : 644,783.58 = 316,912.32 : x
  2. Step 2: Convert to fraction form
    430,794.90/644,783.58 = 316,912.32/x
  3. Step 3: Cross multiply
    430,794.90x = 644,783.58 × 316,912.32
  4. Step 4: Simplify right side
    430,794.90x = 204,339,860,235.71
  5. Step 5: Solve for x
    x = 204,339,860,235.71/430,794.90
  6. Step 6: Final answer
    x = 474,332.12

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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.