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Finding the Fourth Proportional to 456,290.40, 684,370.80 and 156,784.80

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Solution

The fourth proportional to 456,290.40, 684,370.80 and 156,784.80 is: 235,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,290.40 : 684,370.80 = 156,784.80 : x
  2. Step 2: Convert to fraction form
    456,290.40/684,370.80 = 156,784.80/x
  3. Step 3: Cross multiply
    456,290.40x = 684,370.80 × 156,784.80
  4. Step 4: Simplify right side
    456,290.40x = 107,298,939,003.84
  5. Step 5: Solve for x
    x = 107,298,939,003.84/456,290.40
  6. Step 6: Final answer
    x = 235,154.93

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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.