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Finding the Fourth Proportional to 507,613.10, 760,907.04 and 318,206.22

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Solution

The fourth proportional to 507,613.10, 760,907.04 and 318,206.22 is: 476,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,613.10 : 760,907.04 = 318,206.22 : x
  2. Step 2: Convert to fraction form
    507,613.10/760,907.04 = 318,206.22/x
  3. Step 3: Cross multiply
    507,613.10x = 760,907.04 × 318,206.22
  4. Step 4: Simplify right side
    507,613.10x = 242,125,354,098.17
  5. Step 5: Solve for x
    x = 242,125,354,098.17/507,613.10
  6. Step 6: Final answer
    x = 476,987.99

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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.