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Finding the Fourth Proportional to 610,468.40, 842,499.64 and 355,814.12

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Solution

The fourth proportional to 610,468.40, 842,499.64 and 355,814.12 is: 491,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,468.40 : 842,499.64 = 355,814.12 : x
  2. Step 2: Convert to fraction form
    610,468.40/842,499.64 = 355,814.12/x
  3. Step 3: Cross multiply
    610,468.40x = 842,499.64 × 355,814.12
  4. Step 4: Simplify right side
    610,468.40x = 299,773,268,006.92
  5. Step 5: Solve for x
    x = 299,773,268,006.92/610,468.40
  6. Step 6: Final answer
    x = 491,054.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.