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Finding the Fourth Proportional to 506,529.40, 759,794.10 and 457,540.60

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Solution

The fourth proportional to 506,529.40, 759,794.10 and 457,540.60 is: 686,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,529.40 : 759,794.10 = 457,540.60 : x
  2. Step 2: Convert to fraction form
    506,529.40/759,794.10 = 457,540.60/x
  3. Step 3: Cross multiply
    506,529.40x = 759,794.10 × 457,540.60
  4. Step 4: Simplify right side
    506,529.40x = 347,636,648,390.46
  5. Step 5: Solve for x
    x = 347,636,648,390.46/506,529.40
  6. Step 6: Final answer
    x = 686,310.90

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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.