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Finding the Fourth Proportional to 282,970.74, 390,497.58 and 155,643.60

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Solution

The fourth proportional to 282,970.74, 390,497.58 and 155,643.60 is: 214,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,970.74 : 390,497.58 = 155,643.60 : x
  2. Step 2: Convert to fraction form
    282,970.74/390,497.58 = 155,643.60/x
  3. Step 3: Cross multiply
    282,970.74x = 390,497.58 × 155,643.60
  4. Step 4: Simplify right side
    282,970.74x = 60,778,449,142.49
  5. Step 5: Solve for x
    x = 60,778,449,142.49/282,970.74
  6. Step 6: Final answer
    x = 214,787.05

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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.