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Finding the Fourth Proportional to 475,075.25, 655,595.75 and 257,282.16

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Solution

The fourth proportional to 475,075.25, 655,595.75 and 257,282.16 is: 355,045.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,075.25 : 655,595.75 = 257,282.16 : x
  2. Step 2: Convert to fraction form
    475,075.25/655,595.75 = 257,282.16/x
  3. Step 3: Cross multiply
    475,075.25x = 655,595.75 × 257,282.16
  4. Step 4: Simplify right side
    475,075.25x = 168,673,089,360.41
  5. Step 5: Solve for x
    x = 168,673,089,360.41/475,075.25
  6. Step 6: Final answer
    x = 355,045.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.