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Finding the Fourth Proportional to 817,562.16, 1,226,341 and 256,638.64

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Solution

The fourth proportional to 817,562.16, 1,226,341 and 256,638.64 is: 384,957.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,562.16 : 1,226,341 = 256,638.64 : x
  2. Step 2: Convert to fraction form
    817,562.16/1,226,341 = 256,638.64/x
  3. Step 3: Cross multiply
    817,562.16x = 1,226,341 × 256,638.64
  4. Step 4: Simplify right side
    817,562.16x = 314,726,486,416.24
  5. Step 5: Solve for x
    x = 314,726,486,416.24/817,562.16
  6. Step 6: Final answer
    x = 384,957.26

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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.