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Finding the Fourth Proportional to 505,147.71, 759,345.48 and 406,404.66

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Solution

The fourth proportional to 505,147.71, 759,345.48 and 406,404.66 is: 610,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,147.71 : 759,345.48 = 406,404.66 : x
  2. Step 2: Convert to fraction form
    505,147.71/759,345.48 = 406,404.66/x
  3. Step 3: Cross multiply
    505,147.71x = 759,345.48 × 406,404.66
  4. Step 4: Simplify right side
    505,147.71x = 308,601,541,621.94
  5. Step 5: Solve for x
    x = 308,601,541,621.94/505,147.71
  6. Step 6: Final answer
    x = 610,913.47

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1.5x scale

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.