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Finding the Fourth Proportional to 283,033.55, 390,642.12 and 162,255.93

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Solution

The fourth proportional to 283,033.55, 390,642.12 and 162,255.93 is: 223,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,033.55 : 390,642.12 = 162,255.93 : x
  2. Step 2: Convert to fraction form
    283,033.55/390,642.12 = 162,255.93/x
  3. Step 3: Cross multiply
    283,033.55x = 390,642.12 × 162,255.93
  4. Step 4: Simplify right side
    283,033.55x = 63,384,000,477.77
  5. Step 5: Solve for x
    x = 63,384,000,477.77/283,033.55
  6. Step 6: Final answer
    x = 223,945.19

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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.