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Finding the Fourth Proportional to 386,810.44, 577,568.42 and 346,569.64

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Solution

The fourth proportional to 386,810.44, 577,568.42 and 346,569.64 is: 517,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,810.44 : 577,568.42 = 346,569.64 : x
  2. Step 2: Convert to fraction form
    386,810.44/577,568.42 = 346,569.64/x
  3. Step 3: Cross multiply
    386,810.44x = 577,568.42 × 346,569.64
  4. Step 4: Simplify right side
    386,810.44x = 200,167,679,394.77
  5. Step 5: Solve for x
    x = 200,167,679,394.77/386,810.44
  6. Step 6: Final answer
    x = 517,482.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.