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Finding the Fourth Proportional to 702,952.70, 970,075.24 and 380,663.15

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Solution

The fourth proportional to 702,952.70, 970,075.24 and 380,663.15 is: 525,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,952.70 : 970,075.24 = 380,663.15 : x
  2. Step 2: Convert to fraction form
    702,952.70/970,075.24 = 380,663.15/x
  3. Step 3: Cross multiply
    702,952.70x = 970,075.24 × 380,663.15
  4. Step 4: Simplify right side
    702,952.70x = 369,271,890,793.37
  5. Step 5: Solve for x
    x = 369,271,890,793.37/702,952.70
  6. Step 6: Final answer
    x = 525,315.42

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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.