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Finding the Fourth Proportional to 518,971.24, 716,585.70 and 406,115.56

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Solution

The fourth proportional to 518,971.24, 716,585.70 and 406,115.56 is: 560,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,971.24 : 716,585.70 = 406,115.56 : x
  2. Step 2: Convert to fraction form
    518,971.24/716,585.70 = 406,115.56/x
  3. Step 3: Cross multiply
    518,971.24x = 716,585.70 × 406,115.56
  4. Step 4: Simplify right side
    518,971.24x = 291,016,602,843.49
  5. Step 5: Solve for x
    x = 291,016,602,843.49/518,971.24
  6. Step 6: Final answer
    x = 560,756.71

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1.5x scale

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.