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Finding the Fourth Proportional to 428,045.60, 642,068.40 and 112,534.40

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Solution

The fourth proportional to 428,045.60, 642,068.40 and 112,534.40 is: 168,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,045.60 : 642,068.40 = 112,534.40 : x
  2. Step 2: Convert to fraction form
    428,045.60/642,068.40 = 112,534.40/x
  3. Step 3: Cross multiply
    428,045.60x = 642,068.40 × 112,534.40
  4. Step 4: Simplify right side
    428,045.60x = 72,254,782,152.96
  5. Step 5: Solve for x
    x = 72,254,782,152.96/428,045.60
  6. Step 6: Final answer
    x = 168,801.60

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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.