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Finding the Fourth Proportional to 513,153.40, 708,186.36 and 298,292.80

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Solution

The fourth proportional to 513,153.40, 708,186.36 and 298,292.80 is: 411,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,153.40 : 708,186.36 = 298,292.80 : x
  2. Step 2: Convert to fraction form
    513,153.40/708,186.36 = 298,292.80/x
  3. Step 3: Cross multiply
    513,153.40x = 708,186.36 × 298,292.80
  4. Step 4: Simplify right side
    513,153.40x = 211,246,892,246.21
  5. Step 5: Solve for x
    x = 211,246,892,246.21/513,153.40
  6. Step 6: Final answer
    x = 411,664.22

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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.