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Finding the Fourth Proportional to 280,285.56, 386,795.16 and 152,964

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Solution

The fourth proportional to 280,285.56, 386,795.16 and 152,964 is: 211,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,285.56 : 386,795.16 = 152,964 : x
  2. Step 2: Convert to fraction form
    280,285.56/386,795.16 = 152,964/x
  3. Step 3: Cross multiply
    280,285.56x = 386,795.16 × 152,964
  4. Step 4: Simplify right side
    280,285.56x = 59,165,734,854.24
  5. Step 5: Solve for x
    x = 59,165,734,854.24/280,285.56
  6. Step 6: Final answer
    x = 211,090.91

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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.