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Finding the Fourth Proportional to 282,810.78, 390,280.34 and 155,494.58

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Solution

The fourth proportional to 282,810.78, 390,280.34 and 155,494.58 is: 214,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,810.78 : 390,280.34 = 155,494.58 : x
  2. Step 2: Convert to fraction form
    282,810.78/390,280.34 = 155,494.58/x
  3. Step 3: Cross multiply
    282,810.78x = 390,280.34 × 155,494.58
  4. Step 4: Simplify right side
    282,810.78x = 60,686,475,987.89
  5. Step 5: Solve for x
    x = 60,686,475,987.89/282,810.78
  6. Step 6: Final answer
    x = 214,583.32

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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.