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Finding the Fourth Proportional to 652,285.20, 978,427.80 and 463,328.40

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Solution

The fourth proportional to 652,285.20, 978,427.80 and 463,328.40 is: 694,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,285.20 : 978,427.80 = 463,328.40 : x
  2. Step 2: Convert to fraction form
    652,285.20/978,427.80 = 463,328.40/x
  3. Step 3: Cross multiply
    652,285.20x = 978,427.80 × 463,328.40
  4. Step 4: Simplify right side
    652,285.20x = 453,333,387,089.52
  5. Step 5: Solve for x
    x = 453,333,387,089.52/652,285.20
  6. Step 6: Final answer
    x = 694,992.60

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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.