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Finding the Fourth Proportional to 419,420.89, 578,807.55 and 228,434.28

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Solution

The fourth proportional to 419,420.89, 578,807.55 and 228,434.28 is: 315,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,420.89 : 578,807.55 = 228,434.28 : x
  2. Step 2: Convert to fraction form
    419,420.89/578,807.55 = 228,434.28/x
  3. Step 3: Cross multiply
    419,420.89x = 578,807.55 × 228,434.28
  4. Step 4: Simplify right side
    419,420.89x = 132,219,483,129.81
  5. Step 5: Solve for x
    x = 132,219,483,129.81/419,420.89
  6. Step 6: Final answer
    x = 315,242.96

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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.