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Finding the Fourth Proportional to 489,577.51, 734,210.73 and 157,075.75

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Solution

The fourth proportional to 489,577.51, 734,210.73 and 157,075.75 is: 235,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,577.51 : 734,210.73 = 157,075.75 : x
  2. Step 2: Convert to fraction form
    489,577.51/734,210.73 = 157,075.75/x
  3. Step 3: Cross multiply
    489,577.51x = 734,210.73 × 157,075.75
  4. Step 4: Simplify right side
    489,577.51x = 115,326,701,072.80
  5. Step 5: Solve for x
    x = 115,326,701,072.80/489,577.51
  6. Step 6: Final answer
    x = 235,563.72

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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.