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Finding the Fourth Proportional to 643,210.80, 964,862.64 and 169,890

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Solution

The fourth proportional to 643,210.80, 964,862.64 and 169,890 is: 254,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,210.80 : 964,862.64 = 169,890 : x
  2. Step 2: Convert to fraction form
    643,210.80/964,862.64 = 169,890/x
  3. Step 3: Cross multiply
    643,210.80x = 964,862.64 × 169,890
  4. Step 4: Simplify right side
    643,210.80x = 163,920,513,909.60
  5. Step 5: Solve for x
    x = 163,920,513,909.60/643,210.80
  6. Step 6: Final answer
    x = 254,847.27

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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.