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Finding the Fourth Proportional to 705,024, 972,934.34 and 403,218

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Solution

The fourth proportional to 705,024, 972,934.34 and 403,218 is: 556,441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,024 : 972,934.34 = 403,218 : x
  2. Step 2: Convert to fraction form
    705,024/972,934.34 = 403,218/x
  3. Step 3: Cross multiply
    705,024x = 972,934.34 × 403,218
  4. Step 4: Simplify right side
    705,024x = 392,304,636,690.03
  5. Step 5: Solve for x
    x = 392,304,636,690.03/705,024
  6. Step 6: Final answer
    x = 556,441.53

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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.