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Finding the Fourth Proportional to 648,005.64, 894,248.34 and 361,525.77

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Solution

The fourth proportional to 648,005.64, 894,248.34 and 361,525.77 is: 498,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,005.64 : 894,248.34 = 361,525.77 : x
  2. Step 2: Convert to fraction form
    648,005.64/894,248.34 = 361,525.77/x
  3. Step 3: Cross multiply
    648,005.64x = 894,248.34 × 361,525.77
  4. Step 4: Simplify right side
    648,005.64x = 323,293,819,689.72
  5. Step 5: Solve for x
    x = 323,293,819,689.72/648,005.64
  6. Step 6: Final answer
    x = 498,905.87

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1.5x scale

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.