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Finding the Fourth Proportional to 720,529.63, 994,331.85 and 414,599.92

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Solution

The fourth proportional to 720,529.63, 994,331.85 and 414,599.92 is: 572,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,529.63 : 994,331.85 = 414,599.92 : x
  2. Step 2: Convert to fraction form
    720,529.63/994,331.85 = 414,599.92/x
  3. Step 3: Cross multiply
    720,529.63x = 994,331.85 × 414,599.92
  4. Step 4: Simplify right side
    720,529.63x = 412,249,905,463.45
  5. Step 5: Solve for x
    x = 412,249,905,463.45/720,529.63
  6. Step 6: Final answer
    x = 572,148.44

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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.