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Finding the Fourth Proportional to 355,164.48, 490,243.79 and 282,700.30

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Solution

The fourth proportional to 355,164.48, 490,243.79 and 282,700.30 is: 390,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,164.48 : 490,243.79 = 282,700.30 : x
  2. Step 2: Convert to fraction form
    355,164.48/490,243.79 = 282,700.30/x
  3. Step 3: Cross multiply
    355,164.48x = 490,243.79 × 282,700.30
  4. Step 4: Simplify right side
    355,164.48x = 138,592,065,280.53
  5. Step 5: Solve for x
    x = 138,592,065,280.53/355,164.48
  6. Step 6: Final answer
    x = 390,219.38

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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.