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Finding the Fourth Proportional to 702,950.32, 970,071.96 and 380,660.77

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Solution

The fourth proportional to 702,950.32, 970,071.96 and 380,660.77 is: 525,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,950.32 : 970,071.96 = 380,660.77 : x
  2. Step 2: Convert to fraction form
    702,950.32/970,071.96 = 380,660.77/x
  3. Step 3: Cross multiply
    702,950.32x = 970,071.96 × 380,660.77
  4. Step 4: Simplify right side
    702,950.32x = 369,268,339,249.01
  5. Step 5: Solve for x
    x = 369,268,339,249.01/702,950.32
  6. Step 6: Final answer
    x = 525,312.14

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1.5x scale

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.