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Finding the Fourth Proportional to 640,276.50, 960,335.10 and 400,411.74

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Solution

The fourth proportional to 640,276.50, 960,335.10 and 400,411.74 is: 600,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,276.50 : 960,335.10 = 400,411.74 : x
  2. Step 2: Convert to fraction form
    640,276.50/960,335.10 = 400,411.74/x
  3. Step 3: Cross multiply
    640,276.50x = 960,335.10 × 400,411.74
  4. Step 4: Simplify right side
    640,276.50x = 384,529,448,374.07
  5. Step 5: Solve for x
    x = 384,529,448,374.07/640,276.50
  6. Step 6: Final answer
    x = 600,567.80

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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.