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Finding the Fourth Proportional to 550,405.65, 825,608.48 and 510,547.58

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Solution

The fourth proportional to 550,405.65, 825,608.48 and 510,547.58 is: 765,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,405.65 : 825,608.48 = 510,547.58 : x
  2. Step 2: Convert to fraction form
    550,405.65/825,608.48 = 510,547.58/x
  3. Step 3: Cross multiply
    550,405.65x = 825,608.48 × 510,547.58
  4. Step 4: Simplify right side
    550,405.65x = 421,512,404,810.70
  5. Step 5: Solve for x
    x = 421,512,404,810.70/550,405.65
  6. Step 6: Final answer
    x = 765,821.36

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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.