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Finding the Fourth Proportional to 556,957.56, 769,000.90 and 342,385.32

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Solution

The fourth proportional to 556,957.56, 769,000.90 and 342,385.32 is: 472,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,957.56 : 769,000.90 = 342,385.32 : x
  2. Step 2: Convert to fraction form
    556,957.56/769,000.90 = 342,385.32/x
  3. Step 3: Cross multiply
    556,957.56x = 769,000.90 × 342,385.32
  4. Step 4: Simplify right side
    556,957.56x = 263,294,619,226.79
  5. Step 5: Solve for x
    x = 263,294,619,226.79/556,957.56
  6. Step 6: Final answer
    x = 472,737.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.