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Finding the Fourth Proportional to 282,724.68, 390,155 and 155,400.24

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Solution

The fourth proportional to 282,724.68, 390,155 and 155,400.24 is: 214,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,724.68 : 390,155 = 155,400.24 : x
  2. Step 2: Convert to fraction form
    282,724.68/390,155 = 155,400.24/x
  3. Step 3: Cross multiply
    282,724.68x = 390,155 × 155,400.24
  4. Step 4: Simplify right side
    282,724.68x = 60,630,180,637.20
  5. Step 5: Solve for x
    x = 60,630,180,637.20/282,724.68
  6. Step 6: Final answer
    x = 214,449.55

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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.