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Finding the Fourth Proportional to 282,907.42, 390,404.45 and 155,583

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Solution

The fourth proportional to 282,907.42, 390,404.45 and 155,583 is: 214,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,907.42 : 390,404.45 = 155,583 : x
  2. Step 2: Convert to fraction form
    282,907.42/390,404.45 = 155,583/x
  3. Step 3: Cross multiply
    282,907.42x = 390,404.45 × 155,583
  4. Step 4: Simplify right side
    282,907.42x = 60,740,295,544.35
  5. Step 5: Solve for x
    x = 60,740,295,544.35/282,907.42
  6. Step 6: Final answer
    x = 214,700.26

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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.