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Finding the Fourth Proportional to 519,795.90, 778,806.33 and 282,715.26

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Solution

The fourth proportional to 519,795.90, 778,806.33 and 282,715.26 is: 423,590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,795.90 : 778,806.33 = 282,715.26 : x
  2. Step 2: Convert to fraction form
    519,795.90/778,806.33 = 282,715.26/x
  3. Step 3: Cross multiply
    519,795.90x = 778,806.33 × 282,715.26
  4. Step 4: Simplify right side
    519,795.90x = 220,180,434,075.60
  5. Step 5: Solve for x
    x = 220,180,434,075.60/519,795.90
  6. Step 6: Final answer
    x = 423,590.17

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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.