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Finding the Fourth Proportional to 584,702, 806,888.82 and 316,430

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Solution

The fourth proportional to 584,702, 806,888.82 and 316,430 is: 436,673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,702 : 806,888.82 = 316,430 : x
  2. Step 2: Convert to fraction form
    584,702/806,888.82 = 316,430/x
  3. Step 3: Cross multiply
    584,702x = 806,888.82 × 316,430
  4. Step 4: Simplify right side
    584,702x = 255,323,829,312.60
  5. Step 5: Solve for x
    x = 255,323,829,312.60/584,702
  6. Step 6: Final answer
    x = 436,673.43

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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.