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Finding the Fourth Proportional to 556,214.80, 834,322.20 and 456,487.60

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Solution

The fourth proportional to 556,214.80, 834,322.20 and 456,487.60 is: 684,731.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,214.80 : 834,322.20 = 456,487.60 : x
  2. Step 2: Convert to fraction form
    556,214.80/834,322.20 = 456,487.60/x
  3. Step 3: Cross multiply
    556,214.80x = 834,322.20 × 456,487.60
  4. Step 4: Simplify right side
    556,214.80x = 380,857,738,704.72
  5. Step 5: Solve for x
    x = 380,857,738,704.72/556,214.80
  6. Step 6: Final answer
    x = 684,731.40

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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.