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Finding the Fourth Proportional to 652,031.60, 978,047.40 and 612,665.60

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Solution

The fourth proportional to 652,031.60, 978,047.40 and 612,665.60 is: 918,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,031.60 : 978,047.40 = 612,665.60 : x
  2. Step 2: Convert to fraction form
    652,031.60/978,047.40 = 612,665.60/x
  3. Step 3: Cross multiply
    652,031.60x = 978,047.40 × 612,665.60
  4. Step 4: Simplify right side
    652,031.60x = 599,215,997,149.44
  5. Step 5: Solve for x
    x = 599,215,997,149.44/652,031.60
  6. Step 6: Final answer
    x = 918,998.40

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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.