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Finding the Fourth Proportional to 398,178, 549,485.67 and 219,330

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Solution

The fourth proportional to 398,178, 549,485.67 and 219,330 is: 302,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,178 : 549,485.67 = 219,330 : x
  2. Step 2: Convert to fraction form
    398,178/549,485.67 = 219,330/x
  3. Step 3: Cross multiply
    398,178x = 549,485.67 × 219,330
  4. Step 4: Simplify right side
    398,178x = 120,518,692,001.10
  5. Step 5: Solve for x
    x = 120,518,692,001.10/398,178
  6. Step 6: Final answer
    x = 302,675.42

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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.