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Finding the Fourth Proportional to 702,423.70, 969,762.27 and 461,128.34

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Solution

The fourth proportional to 702,423.70, 969,762.27 and 461,128.34 is: 636,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,423.70 : 969,762.27 = 461,128.34 : x
  2. Step 2: Convert to fraction form
    702,423.70/969,762.27 = 461,128.34/x
  3. Step 3: Cross multiply
    702,423.70x = 969,762.27 × 461,128.34
  4. Step 4: Simplify right side
    702,423.70x = 447,184,869,913.37
  5. Step 5: Solve for x
    x = 447,184,869,913.37/702,423.70
  6. Step 6: Final answer
    x = 636,631.24

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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.