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Finding the Fourth Proportional to 1,643,952, 2,465,928 and 462,000

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Solution

The fourth proportional to 1,643,952, 2,465,928 and 462,000 is: 693,000

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,952 : 2,465,928 = 462,000 : x
  2. Step 2: Convert to fraction form
    1,643,952/2,465,928 = 462,000/x
  3. Step 3: Cross multiply
    1,643,952x = 2,465,928 × 462,000
  4. Step 4: Simplify right side
    1,643,952x = 1,139,258,736,000
  5. Step 5: Solve for x
    x = 1,139,258,736,000/1,643,952
  6. Step 6: Final answer
    x = 693,000

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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.