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Finding the Fourth Proportional to 421,710.70, 632,711.85 and 407,130.70

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Solution

The fourth proportional to 421,710.70, 632,711.85 and 407,130.70 is: 610,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,710.70 : 632,711.85 = 407,130.70 : x
  2. Step 2: Convert to fraction form
    421,710.70/632,711.85 = 407,130.70/x
  3. Step 3: Cross multiply
    421,710.70x = 632,711.85 × 407,130.70
  4. Step 4: Simplify right side
    421,710.70x = 257,596,418,388.80
  5. Step 5: Solve for x
    x = 257,596,418,388.80/421,710.70
  6. Step 6: Final answer
    x = 610,836.81

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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.