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Finding the Fourth Proportional to 640,643.40, 960,965.10 and 405,030.60

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Solution

The fourth proportional to 640,643.40, 960,965.10 and 405,030.60 is: 607,545.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,643.40 : 960,965.10 = 405,030.60 : x
  2. Step 2: Convert to fraction form
    640,643.40/960,965.10 = 405,030.60/x
  3. Step 3: Cross multiply
    640,643.40x = 960,965.10 × 405,030.60
  4. Step 4: Simplify right side
    640,643.40x = 389,220,271,032.06
  5. Step 5: Solve for x
    x = 389,220,271,032.06/640,643.40
  6. Step 6: Final answer
    x = 607,545.90

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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.