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Finding the Fourth Proportional to 652,074.40, 978,111.60 and 463,117.60

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Solution

The fourth proportional to 652,074.40, 978,111.60 and 463,117.60 is: 694,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,074.40 : 978,111.60 = 463,117.60 : x
  2. Step 2: Convert to fraction form
    652,074.40/978,111.60 = 463,117.60/x
  3. Step 3: Cross multiply
    652,074.40x = 978,111.60 × 463,117.60
  4. Step 4: Simplify right side
    652,074.40x = 452,980,696,724.16
  5. Step 5: Solve for x
    x = 452,980,696,724.16/652,074.40
  6. Step 6: Final answer
    x = 694,676.40

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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.