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Finding the Fourth Proportional to 680,045, 1,020,061.42 and 253,566.32

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Solution

The fourth proportional to 680,045, 1,020,061.42 and 253,566.32 is: 380,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,045 : 1,020,061.42 = 253,566.32 : x
  2. Step 2: Convert to fraction form
    680,045/1,020,061.42 = 253,566.32/x
  3. Step 3: Cross multiply
    680,045x = 1,020,061.42 × 253,566.32
  4. Step 4: Simplify right side
    680,045x = 258,653,220,443.37
  5. Step 5: Solve for x
    x = 258,653,220,443.37/680,045
  6. Step 6: Final answer
    x = 380,347.21

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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.