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Finding the Fourth Proportional to 584,062, 806,005.56 and 315,790

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Solution

The fourth proportional to 584,062, 806,005.56 and 315,790 is: 435,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,062 : 806,005.56 = 315,790 : x
  2. Step 2: Convert to fraction form
    584,062/806,005.56 = 315,790/x
  3. Step 3: Cross multiply
    584,062x = 806,005.56 × 315,790
  4. Step 4: Simplify right side
    584,062x = 254,528,495,792.40
  5. Step 5: Solve for x
    x = 254,528,495,792.40/584,062
  6. Step 6: Final answer
    x = 435,790.20

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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.