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Finding the Fourth Proportional to 419,159.66, 578,440.40 and 228,174.49

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Solution

The fourth proportional to 419,159.66, 578,440.40 and 228,174.49 is: 314,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,159.66 : 578,440.40 = 228,174.49 : x
  2. Step 2: Convert to fraction form
    419,159.66/578,440.40 = 228,174.49/x
  3. Step 3: Cross multiply
    419,159.66x = 578,440.40 × 228,174.49
  4. Step 4: Simplify right side
    419,159.66x = 131,985,343,265.40
  5. Step 5: Solve for x
    x = 131,985,343,265.40/419,159.66
  6. Step 6: Final answer
    x = 314,880.83

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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.