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Finding the Fourth Proportional to 575,902.60, 863,465.10 and 306,075.40

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Solution

The fourth proportional to 575,902.60, 863,465.10 and 306,075.40 is: 458,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,902.60 : 863,465.10 = 306,075.40 : x
  2. Step 2: Convert to fraction form
    575,902.60/863,465.10 = 306,075.40/x
  3. Step 3: Cross multiply
    575,902.60x = 863,465.10 × 306,075.40
  4. Step 4: Simplify right side
    575,902.60x = 264,285,425,868.54
  5. Step 5: Solve for x
    x = 264,285,425,868.54/575,902.60
  6. Step 6: Final answer
    x = 458,906.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.