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Finding the Fourth Proportional to 647,860.23, 893,565.14 and 475,724.16

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Solution

The fourth proportional to 647,860.23, 893,565.14 and 475,724.16 is: 656,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,860.23 : 893,565.14 = 475,724.16 : x
  2. Step 2: Convert to fraction form
    647,860.23/893,565.14 = 475,724.16/x
  3. Step 3: Cross multiply
    647,860.23x = 893,565.14 × 475,724.16
  4. Step 4: Simplify right side
    647,860.23x = 425,090,523,253.16
  5. Step 5: Solve for x
    x = 425,090,523,253.16/647,860.23
  6. Step 6: Final answer
    x = 656,145.42

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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.