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Finding the Fourth Proportional to 709,038.03, 978,485.80 and 386,759.64

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Solution

The fourth proportional to 709,038.03, 978,485.80 and 386,759.64 is: 533,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,038.03 : 978,485.80 = 386,759.64 : x
  2. Step 2: Convert to fraction form
    709,038.03/978,485.80 = 386,759.64/x
  3. Step 3: Cross multiply
    709,038.03x = 978,485.80 × 386,759.64
  4. Step 4: Simplify right side
    709,038.03x = 378,438,815,753.11
  5. Step 5: Solve for x
    x = 378,438,815,753.11/709,038.03
  6. Step 6: Final answer
    x = 533,735.57

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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.