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Finding the Fourth Proportional to 518,973.94, 715,547.72 and 426,771

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Solution

The fourth proportional to 518,973.94, 715,547.72 and 426,771 is: 588,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,973.94 : 715,547.72 = 426,771 : x
  2. Step 2: Convert to fraction form
    518,973.94/715,547.72 = 426,771/x
  3. Step 3: Cross multiply
    518,973.94x = 715,547.72 × 426,771
  4. Step 4: Simplify right side
    518,973.94x = 305,375,016,012.12
  5. Step 5: Solve for x
    x = 305,375,016,012.12/518,973.94
  6. Step 6: Final answer
    x = 588,420.71

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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.