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Finding the Fourth Proportional to 652,277.20, 978,415.80 and 463,320.40

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Solution

The fourth proportional to 652,277.20, 978,415.80 and 463,320.40 is: 694,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,277.20 : 978,415.80 = 463,320.40 : x
  2. Step 2: Convert to fraction form
    652,277.20/978,415.80 = 463,320.40/x
  3. Step 3: Cross multiply
    652,277.20x = 978,415.80 × 463,320.40
  4. Step 4: Simplify right side
    652,277.20x = 453,319,999,822.32
  5. Step 5: Solve for x
    x = 453,319,999,822.32/652,277.20
  6. Step 6: Final answer
    x = 694,980.60

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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.