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Finding the Fourth Proportional to 530,186.76, 731,652.04 and 315,322.10

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Solution

The fourth proportional to 530,186.76, 731,652.04 and 315,322.10 is: 435,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,186.76 : 731,652.04 = 315,322.10 : x
  2. Step 2: Convert to fraction form
    530,186.76/731,652.04 = 315,322.10/x
  3. Step 3: Cross multiply
    530,186.76x = 731,652.04 × 315,322.10
  4. Step 4: Simplify right side
    530,186.76x = 230,706,057,722.08
  5. Step 5: Solve for x
    x = 230,706,057,722.08/530,186.76
  6. Step 6: Final answer
    x = 435,141.11

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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.