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Finding the Fourth Proportional to 616,543.80, 924,378.30 and 279,745.80

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Solution

The fourth proportional to 616,543.80, 924,378.30 and 279,745.80 is: 419,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,543.80 : 924,378.30 = 279,745.80 : x
  2. Step 2: Convert to fraction form
    616,543.80/924,378.30 = 279,745.80/x
  3. Step 3: Cross multiply
    616,543.80x = 924,378.30 × 279,745.80
  4. Step 4: Simplify right side
    616,543.80x = 258,590,947,036.14
  5. Step 5: Solve for x
    x = 258,590,947,036.14/616,543.80
  6. Step 6: Final answer
    x = 419,420.24

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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.