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Finding the Fourth Proportional to 456,420.16, 684,792.40 and 203,677.64

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Solution

The fourth proportional to 456,420.16, 684,792.40 and 203,677.64 is: 305,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,420.16 : 684,792.40 = 203,677.64 : x
  2. Step 2: Convert to fraction form
    456,420.16/684,792.40 = 203,677.64/x
  3. Step 3: Cross multiply
    456,420.16x = 684,792.40 × 203,677.64
  4. Step 4: Simplify right side
    456,420.16x = 139,476,899,921.94
  5. Step 5: Solve for x
    x = 139,476,899,921.94/456,420.16
  6. Step 6: Final answer
    x = 305,588.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.