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Finding the Fourth Proportional to 390,791.80, 586,187.70 and 364,547.80

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Solution

The fourth proportional to 390,791.80, 586,187.70 and 364,547.80 is: 546,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,791.80 : 586,187.70 = 364,547.80 : x
  2. Step 2: Convert to fraction form
    390,791.80/586,187.70 = 364,547.80/x
  3. Step 3: Cross multiply
    390,791.80x = 586,187.70 × 364,547.80
  4. Step 4: Simplify right side
    390,791.80x = 213,693,436,422.06
  5. Step 5: Solve for x
    x = 213,693,436,422.06/390,791.80
  6. Step 6: Final answer
    x = 546,821.70

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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.