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Finding the Fourth Proportional to 652,130.40, 978,365.70 and 252,784.20

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Solution

The fourth proportional to 652,130.40, 978,365.70 and 252,784.20 is: 379,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,130.40 : 978,365.70 = 252,784.20 : x
  2. Step 2: Convert to fraction form
    652,130.40/978,365.70 = 252,784.20/x
  3. Step 3: Cross multiply
    652,130.40x = 978,365.70 × 252,784.20
  4. Step 4: Simplify right side
    652,130.40x = 247,315,390,781.94
  5. Step 5: Solve for x
    x = 247,315,390,781.94/652,130.40
  6. Step 6: Final answer
    x = 379,242.24

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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.