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Finding the Fourth Proportional to 584,685, 806,865.30 and 316,413

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Solution

The fourth proportional to 584,685, 806,865.30 and 316,413 is: 436,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,685 : 806,865.30 = 316,413 : x
  2. Step 2: Convert to fraction form
    584,685/806,865.30 = 316,413/x
  3. Step 3: Cross multiply
    584,685x = 806,865.30 × 316,413
  4. Step 4: Simplify right side
    584,685x = 255,302,670,168.90
  5. Step 5: Solve for x
    x = 255,302,670,168.90/584,685
  6. Step 6: Final answer
    x = 436,649.94

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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.