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Finding the Fourth Proportional to 283,281.38, 390,994.80 and 162,420.50

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Solution

The fourth proportional to 283,281.38, 390,994.80 and 162,420.50 is: 224,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,281.38 : 390,994.80 = 162,420.50 : x
  2. Step 2: Convert to fraction form
    283,281.38/390,994.80 = 162,420.50/x
  3. Step 3: Cross multiply
    283,281.38x = 390,994.80 × 162,420.50
  4. Step 4: Simplify right side
    283,281.38x = 63,505,570,913.40
  5. Step 5: Solve for x
    x = 63,505,570,913.40/283,281.38
  6. Step 6: Final answer
    x = 224,178.42

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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.