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Finding the Fourth Proportional to 456,200.40, 684,235.80 and 140,689.20

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Solution

The fourth proportional to 456,200.40, 684,235.80 and 140,689.20 is: 211,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,200.40 : 684,235.80 = 140,689.20 : x
  2. Step 2: Convert to fraction form
    456,200.40/684,235.80 = 140,689.20/x
  3. Step 3: Cross multiply
    456,200.40x = 684,235.80 × 140,689.20
  4. Step 4: Simplify right side
    456,200.40x = 96,264,587,313.36
  5. Step 5: Solve for x
    x = 96,264,587,313.36/456,200.40
  6. Step 6: Final answer
    x = 211,013.82

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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.