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Finding the Fourth Proportional to 554,000.40, 831,656.70 and 314,305.20

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Solution

The fourth proportional to 554,000.40, 831,656.70 and 314,305.20 is: 471,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,000.40 : 831,656.70 = 314,305.20 : x
  2. Step 2: Convert to fraction form
    554,000.40/831,656.70 = 314,305.20/x
  3. Step 3: Cross multiply
    554,000.40x = 831,656.70 × 314,305.20
  4. Step 4: Simplify right side
    554,000.40x = 261,394,025,424.84
  5. Step 5: Solve for x
    x = 261,394,025,424.84/554,000.40
  6. Step 6: Final answer
    x = 471,830.03

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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.