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Finding the Fourth Proportional to 650,539.80, 974,427.30 and 539,947.80

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Solution

The fourth proportional to 650,539.80, 974,427.30 and 539,947.80 is: 808,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,539.80 : 974,427.30 = 539,947.80 : x
  2. Step 2: Convert to fraction form
    650,539.80/974,427.30 = 539,947.80/x
  3. Step 3: Cross multiply
    650,539.80x = 974,427.30 × 539,947.80
  4. Step 4: Simplify right side
    650,539.80x = 526,139,876,894.94
  5. Step 5: Solve for x
    x = 526,139,876,894.94/650,539.80
  6. Step 6: Final answer
    x = 808,774.31

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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.