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Finding the Fourth Proportional to 228,214.80, 342,370.80 and 70,459.20

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Solution

The fourth proportional to 228,214.80, 342,370.80 and 70,459.20 is: 105,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,214.80 : 342,370.80 = 70,459.20 : x
  2. Step 2: Convert to fraction form
    228,214.80/342,370.80 = 70,459.20/x
  3. Step 3: Cross multiply
    228,214.80x = 342,370.80 × 70,459.20
  4. Step 4: Simplify right side
    228,214.80x = 24,123,172,671.36
  5. Step 5: Solve for x
    x = 24,123,172,671.36/228,214.80
  6. Step 6: Final answer
    x = 105,703.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.