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Finding the Fourth Proportional to 709,022.53, 978,454.13 and 386,739.55

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Solution

The fourth proportional to 709,022.53, 978,454.13 and 386,739.55 is: 533,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,022.53 : 978,454.13 = 386,739.55 : x
  2. Step 2: Convert to fraction form
    709,022.53/978,454.13 = 386,739.55/x
  3. Step 3: Cross multiply
    709,022.53x = 978,454.13 × 386,739.55
  4. Step 4: Simplify right side
    709,022.53x = 378,406,909,931.84
  5. Step 5: Solve for x
    x = 378,406,909,931.84/709,022.53
  6. Step 6: Final answer
    x = 533,702.24

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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.