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Finding the Fourth Proportional to 450,041.60, 620,764.76 and 288,641

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Solution

The fourth proportional to 450,041.60, 620,764.76 and 288,641 is: 398,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,041.60 : 620,764.76 = 288,641 : x
  2. Step 2: Convert to fraction form
    450,041.60/620,764.76 = 288,641/x
  3. Step 3: Cross multiply
    450,041.60x = 620,764.76 × 288,641
  4. Step 4: Simplify right side
    450,041.60x = 179,178,161,091.16
  5. Step 5: Solve for x
    x = 179,178,161,091.16/450,041.60
  6. Step 6: Final answer
    x = 398,136.89

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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.