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Finding the Fourth Proportional to 411,973.40, 617,960.10 and 402,757.40

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Solution

The fourth proportional to 411,973.40, 617,960.10 and 402,757.40 is: 604,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,973.40 : 617,960.10 = 402,757.40 : x
  2. Step 2: Convert to fraction form
    411,973.40/617,960.10 = 402,757.40/x
  3. Step 3: Cross multiply
    411,973.40x = 617,960.10 × 402,757.40
  4. Step 4: Simplify right side
    411,973.40x = 248,888,003,179.74
  5. Step 5: Solve for x
    x = 248,888,003,179.74/411,973.40
  6. Step 6: Final answer
    x = 604,136.10

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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.