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Finding the Fourth Proportional to 553,581.60, 830,372.40 and 419,737.20

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Solution

The fourth proportional to 553,581.60, 830,372.40 and 419,737.20 is: 629,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,581.60 : 830,372.40 = 419,737.20 : x
  2. Step 2: Convert to fraction form
    553,581.60/830,372.40 = 419,737.20/x
  3. Step 3: Cross multiply
    553,581.60x = 830,372.40 × 419,737.20
  4. Step 4: Simplify right side
    553,581.60x = 348,538,186,133.28
  5. Step 5: Solve for x
    x = 348,538,186,133.28/553,581.60
  6. Step 6: Final answer
    x = 629,605.80

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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.