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Finding the Fourth Proportional to 491,594.63, 678,501.08 and 310,184.35

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Solution

The fourth proportional to 491,594.63, 678,501.08 and 310,184.35 is: 428,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,594.63 : 678,501.08 = 310,184.35 : x
  2. Step 2: Convert to fraction form
    491,594.63/678,501.08 = 310,184.35/x
  3. Step 3: Cross multiply
    491,594.63x = 678,501.08 × 310,184.35
  4. Step 4: Simplify right side
    491,594.63x = 210,460,416,474.10
  5. Step 5: Solve for x
    x = 210,460,416,474.10/491,594.63
  6. Step 6: Final answer
    x = 428,117.81

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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.