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Finding the Fourth Proportional to 309,574.95, 464,362.93 and 84,938.46

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Solution

The fourth proportional to 309,574.95, 464,362.93 and 84,938.46 is: 127,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,574.95 : 464,362.93 = 84,938.46 : x
  2. Step 2: Convert to fraction form
    309,574.95/464,362.93 = 84,938.46/x
  3. Step 3: Cross multiply
    309,574.95x = 464,362.93 × 84,938.46
  4. Step 4: Simplify right side
    309,574.95x = 39,442,270,042.32
  5. Step 5: Solve for x
    x = 39,442,270,042.32/309,574.95
  6. Step 6: Final answer
    x = 127,407.82

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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.