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Finding the Fourth Proportional to 401,005.34, 602,448.69 and 378,307.93

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Solution

The fourth proportional to 401,005.34, 602,448.69 and 378,307.93 is: 568,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,005.34 : 602,448.69 = 378,307.93 : x
  2. Step 2: Convert to fraction form
    401,005.34/602,448.69 = 378,307.93/x
  3. Step 3: Cross multiply
    401,005.34x = 602,448.69 × 378,307.93
  4. Step 4: Simplify right side
    401,005.34x = 227,911,115,338.99
  5. Step 5: Solve for x
    x = 227,911,115,338.99/401,005.34
  6. Step 6: Final answer
    x = 568,349.32

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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.