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Finding the Fourth Proportional to 419,073.69, 578,321.66 and 228,088.45

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Solution

The fourth proportional to 419,073.69, 578,321.66 and 228,088.45 is: 314,762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,073.69 : 578,321.66 = 228,088.45 : x
  2. Step 2: Convert to fraction form
    419,073.69/578,321.66 = 228,088.45/x
  3. Step 3: Cross multiply
    419,073.69x = 578,321.66 × 228,088.45
  4. Step 4: Simplify right side
    419,073.69x = 131,908,491,030.83
  5. Step 5: Solve for x
    x = 131,908,491,030.83/419,073.69
  6. Step 6: Final answer
    x = 314,762.04

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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.