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Finding the Fourth Proportional to 491,703.98, 678,582.76 and 298,130.24

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Solution

The fourth proportional to 491,703.98, 678,582.76 and 298,130.24 is: 411,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,703.98 : 678,582.76 = 298,130.24 : x
  2. Step 2: Convert to fraction form
    491,703.98/678,582.76 = 298,130.24/x
  3. Step 3: Cross multiply
    491,703.98x = 678,582.76 × 298,130.24
  4. Step 4: Simplify right side
    491,703.98x = 202,306,041,098.66
  5. Step 5: Solve for x
    x = 202,306,041,098.66/491,703.98
  6. Step 6: Final answer
    x = 411,438.69

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Double scale
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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.