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Finding the Fourth Proportional to 380,468.61, 570,710.19 and 124,301.89

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Solution

The fourth proportional to 380,468.61, 570,710.19 and 124,301.89 is: 186,455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,468.61 : 570,710.19 = 124,301.89 : x
  2. Step 2: Convert to fraction form
    380,468.61/570,710.19 = 124,301.89/x
  3. Step 3: Cross multiply
    380,468.61x = 570,710.19 × 124,301.89
  4. Step 4: Simplify right side
    380,468.61x = 70,940,355,259.26
  5. Step 5: Solve for x
    x = 70,940,355,259.26/380,468.61
  6. Step 6: Final answer
    x = 186,455.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.