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Finding the Fourth Proportional to 546,392.81, 754,022.09 and 320,038.31

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Solution

The fourth proportional to 546,392.81, 754,022.09 and 320,038.31 is: 441,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,392.81 : 754,022.09 = 320,038.31 : x
  2. Step 2: Convert to fraction form
    546,392.81/754,022.09 = 320,038.31/x
  3. Step 3: Cross multiply
    546,392.81x = 754,022.09 × 320,038.31
  4. Step 4: Simplify right side
    546,392.81x = 241,315,958,071.42
  5. Step 5: Solve for x
    x = 241,315,958,071.42/546,392.81
  6. Step 6: Final answer
    x = 441,652.88

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1.5x scale

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.