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Finding the Fourth Proportional to 398,225.57, 549,544.93 and 216,939.67

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Solution

The fourth proportional to 398,225.57, 549,544.93 and 216,939.67 is: 299,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,225.57 : 549,544.93 = 216,939.67 : x
  2. Step 2: Convert to fraction form
    398,225.57/549,544.93 = 216,939.67/x
  3. Step 3: Cross multiply
    398,225.57x = 549,544.93 × 216,939.67
  4. Step 4: Simplify right side
    398,225.57x = 119,218,093,848.16
  5. Step 5: Solve for x
    x = 119,218,093,848.16/398,225.57
  6. Step 6: Final answer
    x = 299,373.28

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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.