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Finding the Fourth Proportional to 228,459.42, 315,230.13 and 147,875.76

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Solution

The fourth proportional to 228,459.42, 315,230.13 and 147,875.76 is: 204,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,459.42 : 315,230.13 = 147,875.76 : x
  2. Step 2: Convert to fraction form
    228,459.42/315,230.13 = 147,875.76/x
  3. Step 3: Cross multiply
    228,459.42x = 315,230.13 × 147,875.76
  4. Step 4: Simplify right side
    228,459.42x = 46,614,895,048.65
  5. Step 5: Solve for x
    x = 46,614,895,048.65/228,459.42
  6. Step 6: Final answer
    x = 204,040.15

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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.