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Finding the Fourth Proportional to 710,322, 980,232.06 and 388,023.81

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Solution

The fourth proportional to 710,322, 980,232.06 and 388,023.81 is: 535,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,322 : 980,232.06 = 388,023.81 : x
  2. Step 2: Convert to fraction form
    710,322/980,232.06 = 388,023.81/x
  3. Step 3: Cross multiply
    710,322x = 980,232.06 × 388,023.81
  4. Step 4: Simplify right side
    710,322x = 380,353,378,605.35
  5. Step 5: Solve for x
    x = 380,353,378,605.35/710,322
  6. Step 6: Final answer
    x = 535,466.14

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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.