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Finding the Fourth Proportional to 546,572.80, 821,608.80 and 389,886.40

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Solution

The fourth proportional to 546,572.80, 821,608.80 and 389,886.40 is: 586,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,572.80 : 821,608.80 = 389,886.40 : x
  2. Step 2: Convert to fraction form
    546,572.80/821,608.80 = 389,886.40/x
  3. Step 3: Cross multiply
    546,572.80x = 821,608.80 × 389,886.40
  4. Step 4: Simplify right side
    546,572.80x = 320,334,097,240.32
  5. Step 5: Solve for x
    x = 320,334,097,240.32/546,572.80
  6. Step 6: Final answer
    x = 586,077.64

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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.