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Finding the Fourth Proportional to 584,035.70, 805,969.26 and 315,763.70

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Solution

The fourth proportional to 584,035.70, 805,969.26 and 315,763.70 is: 435,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,035.70 : 805,969.26 = 315,763.70 : x
  2. Step 2: Convert to fraction form
    584,035.70/805,969.26 = 315,763.70/x
  3. Step 3: Cross multiply
    584,035.70x = 805,969.26 × 315,763.70
  4. Step 4: Simplify right side
    584,035.70x = 254,495,831,594.02
  5. Step 5: Solve for x
    x = 254,495,831,594.02/584,035.70
  6. Step 6: Final answer
    x = 435,753.90

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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.