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Finding the Fourth Proportional to 385,550.40, 578,296.80 and 160,852.80

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Solution

The fourth proportional to 385,550.40, 578,296.80 and 160,852.80 is: 241,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,550.40 : 578,296.80 = 160,852.80 : x
  2. Step 2: Convert to fraction form
    385,550.40/578,296.80 = 160,852.80/x
  3. Step 3: Cross multiply
    385,550.40x = 578,296.80 × 160,852.80
  4. Step 4: Simplify right side
    385,550.40x = 93,020,659,511.04
  5. Step 5: Solve for x
    x = 93,020,659,511.04/385,550.40
  6. Step 6: Final answer
    x = 241,267.18

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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.