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Finding the Fourth Proportional to 389,466.18, 537,467.40 and 217,400.40

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Solution

The fourth proportional to 389,466.18, 537,467.40 and 217,400.40 is: 300,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,466.18 : 537,467.40 = 217,400.40 : x
  2. Step 2: Convert to fraction form
    389,466.18/537,467.40 = 217,400.40/x
  3. Step 3: Cross multiply
    389,466.18x = 537,467.40 × 217,400.40
  4. Step 4: Simplify right side
    389,466.18x = 116,845,627,746.96
  5. Step 5: Solve for x
    x = 116,845,627,746.96/389,466.18
  6. Step 6: Final answer
    x = 300,014.82

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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.