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Finding the Fourth Proportional to 612,504.72, 918,753.84 and 213,142.32

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Solution

The fourth proportional to 612,504.72, 918,753.84 and 213,142.32 is: 319,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,504.72 : 918,753.84 = 213,142.32 : x
  2. Step 2: Convert to fraction form
    612,504.72/918,753.84 = 213,142.32/x
  3. Step 3: Cross multiply
    612,504.72x = 918,753.84 × 213,142.32
  4. Step 4: Simplify right side
    612,504.72x = 195,825,324,966.51
  5. Step 5: Solve for x
    x = 195,825,324,966.51/612,504.72
  6. Step 6: Final answer
    x = 319,712.35

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1.5x scale

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.