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Finding the Fourth Proportional to 370,510.94, 511,298.42 and 209,362.50

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Solution

The fourth proportional to 370,510.94, 511,298.42 and 209,362.50 is: 288,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,510.94 : 511,298.42 = 209,362.50 : x
  2. Step 2: Convert to fraction form
    370,510.94/511,298.42 = 209,362.50/x
  3. Step 3: Cross multiply
    370,510.94x = 511,298.42 × 209,362.50
  4. Step 4: Simplify right side
    370,510.94x = 107,046,714,410.44
  5. Step 5: Solve for x
    x = 107,046,714,410.44/370,510.94
  6. Step 6: Final answer
    x = 288,916.48

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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.