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Finding the Fourth Proportional to 513,325.16, 708,376.41 and 298,539.89

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Solution

The fourth proportional to 513,325.16, 708,376.41 and 298,539.89 is: 411,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,325.16 : 708,376.41 = 298,539.89 : x
  2. Step 2: Convert to fraction form
    513,325.16/708,376.41 = 298,539.89/x
  3. Step 3: Cross multiply
    513,325.16x = 708,376.41 × 298,539.89
  4. Step 4: Simplify right side
    513,325.16x = 211,478,615,520.00
  5. Step 5: Solve for x
    x = 211,478,615,520.00/513,325.16
  6. Step 6: Final answer
    x = 411,977.89

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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.