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Finding the Fourth Proportional to 525,780.65, 787,920.90 and 405,382.25

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Solution

The fourth proportional to 525,780.65, 787,920.90 and 405,382.25 is: 607,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,780.65 : 787,920.90 = 405,382.25 : x
  2. Step 2: Convert to fraction form
    525,780.65/787,920.90 = 405,382.25/x
  3. Step 3: Cross multiply
    525,780.65x = 787,920.90 × 405,382.25
  4. Step 4: Simplify right side
    525,780.65x = 319,409,147,264.03
  5. Step 5: Solve for x
    x = 319,409,147,264.03/525,780.65
  6. Step 6: Final answer
    x = 607,495.06

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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.