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Finding the Fourth Proportional to 419,223.02, 578,509.62 and 228,237.08

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Solution

The fourth proportional to 419,223.02, 578,509.62 and 228,237.08 is: 314,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,223.02 : 578,509.62 = 228,237.08 : x
  2. Step 2: Convert to fraction form
    419,223.02/578,509.62 = 228,237.08/x
  3. Step 3: Cross multiply
    419,223.02x = 578,509.62 × 228,237.08
  4. Step 4: Simplify right side
    419,223.02x = 132,037,346,420.71
  5. Step 5: Solve for x
    x = 132,037,346,420.71/419,223.02
  6. Step 6: Final answer
    x = 314,957.29

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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.