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Finding the Fourth Proportional to 530,020.55, 731,838.89 and 407,318.56

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Solution

The fourth proportional to 530,020.55, 731,838.89 and 407,318.56 is: 562,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,020.55 : 731,838.89 = 407,318.56 : x
  2. Step 2: Convert to fraction form
    530,020.55/731,838.89 = 407,318.56/x
  3. Step 3: Cross multiply
    530,020.55x = 731,838.89 × 407,318.56
  4. Step 4: Simplify right side
    530,020.55x = 298,091,562,015.50
  5. Step 5: Solve for x
    x = 298,091,562,015.50/530,020.55
  6. Step 6: Final answer
    x = 562,415.10

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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.