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Finding the Fourth Proportional to 546,905.20, 820,357.80 and 147,607.60

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Solution

The fourth proportional to 546,905.20, 820,357.80 and 147,607.60 is: 221,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,905.20 : 820,357.80 = 147,607.60 : x
  2. Step 2: Convert to fraction form
    546,905.20/820,357.80 = 147,607.60/x
  3. Step 3: Cross multiply
    546,905.20x = 820,357.80 × 147,607.60
  4. Step 4: Simplify right side
    546,905.20x = 121,091,045,999.28
  5. Step 5: Solve for x
    x = 121,091,045,999.28/546,905.20
  6. Step 6: Final answer
    x = 221,411.40

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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.