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Finding the Fourth Proportional to 584,710, 806,899.86 and 316,438

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Solution

The fourth proportional to 584,710, 806,899.86 and 316,438 is: 436,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,710 : 806,899.86 = 316,438 : x
  2. Step 2: Convert to fraction form
    584,710/806,899.86 = 316,438/x
  3. Step 3: Cross multiply
    584,710x = 806,899.86 × 316,438
  4. Step 4: Simplify right side
    584,710x = 255,333,777,898.68
  5. Step 5: Solve for x
    x = 255,333,777,898.68/584,710
  6. Step 6: Final answer
    x = 436,684.47

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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.