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Finding the Fourth Proportional to 610,427.86, 842,386.19 and 338,495.90

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Solution

The fourth proportional to 610,427.86, 842,386.19 and 338,495.90 is: 467,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,427.86 : 842,386.19 = 338,495.90 : x
  2. Step 2: Convert to fraction form
    610,427.86/842,386.19 = 338,495.90/x
  3. Step 3: Cross multiply
    610,427.86x = 842,386.19 × 338,495.90
  4. Step 4: Simplify right side
    610,427.86x = 285,144,271,531.62
  5. Step 5: Solve for x
    x = 285,144,271,531.62/610,427.86
  6. Step 6: Final answer
    x = 467,121.98

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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.