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Finding the Fourth Proportional to 282,547.85, 389,915.57 and 155,223.54

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Solution

The fourth proportional to 282,547.85, 389,915.57 and 155,223.54 is: 214,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,547.85 : 389,915.57 = 155,223.54 : x
  2. Step 2: Convert to fraction form
    282,547.85/389,915.57 = 155,223.54/x
  3. Step 3: Cross multiply
    282,547.85x = 389,915.57 × 155,223.54
  4. Step 4: Simplify right side
    282,547.85x = 60,524,075,464.58
  5. Step 5: Solve for x
    x = 60,524,075,464.58/282,547.85
  6. Step 6: Final answer
    x = 214,208.24

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1.5x scale

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.