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Finding the Fourth Proportional to 612,076.50, 844,765.74 and 509,940

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Solution

The fourth proportional to 612,076.50, 844,765.74 and 509,940 is: 703,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,076.50 : 844,765.74 = 509,940 : x
  2. Step 2: Convert to fraction form
    612,076.50/844,765.74 = 509,940/x
  3. Step 3: Cross multiply
    612,076.50x = 844,765.74 × 509,940
  4. Step 4: Simplify right side
    612,076.50x = 430,779,841,455.60
  5. Step 5: Solve for x
    x = 430,779,841,455.60/612,076.50
  6. Step 6: Final answer
    x = 703,800.65

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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.