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Finding the Fourth Proportional to 434,534.40, 651,801.60 and 308,563.20

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Solution

The fourth proportional to 434,534.40, 651,801.60 and 308,563.20 is: 462,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,534.40 : 651,801.60 = 308,563.20 : x
  2. Step 2: Convert to fraction form
    434,534.40/651,801.60 = 308,563.20/x
  3. Step 3: Cross multiply
    434,534.40x = 651,801.60 × 308,563.20
  4. Step 4: Simplify right side
    434,534.40x = 201,121,987,461.12
  5. Step 5: Solve for x
    x = 201,121,987,461.12/434,534.40
  6. Step 6: Final answer
    x = 462,844.80

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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.