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Finding the Fourth Proportional to 282,970.62, 390,491.31 and 155,646.21

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Solution

The fourth proportional to 282,970.62, 390,491.31 and 155,646.21 is: 214,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,970.62 : 390,491.31 = 155,646.21 : x
  2. Step 2: Convert to fraction form
    282,970.62/390,491.31 = 155,646.21/x
  3. Step 3: Cross multiply
    282,970.62x = 390,491.31 × 155,646.21
  4. Step 4: Simplify right side
    282,970.62x = 60,778,492,439.44
  5. Step 5: Solve for x
    x = 60,778,492,439.44/282,970.62
  6. Step 6: Final answer
    x = 214,787.29

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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.