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Finding the Fourth Proportional to 495,136.80, 741,830.40 and 405,907.20

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Solution

The fourth proportional to 495,136.80, 741,830.40 and 405,907.20 is: 608,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,136.80 : 741,830.40 = 405,907.20 : x
  2. Step 2: Convert to fraction form
    495,136.80/741,830.40 = 405,907.20/x
  3. Step 3: Cross multiply
    495,136.80x = 741,830.40 × 405,907.20
  4. Step 4: Simplify right side
    495,136.80x = 301,114,300,538.88
  5. Step 5: Solve for x
    x = 301,114,300,538.88/495,136.80
  6. Step 6: Final answer
    x = 608,143.65

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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.