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Finding the Fourth Proportional to 525,847.42, 725,818.10 and 311,062.16

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Solution

The fourth proportional to 525,847.42, 725,818.10 and 311,062.16 is: 429,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,847.42 : 725,818.10 = 311,062.16 : x
  2. Step 2: Convert to fraction form
    525,847.42/725,818.10 = 311,062.16/x
  3. Step 3: Cross multiply
    525,847.42x = 725,818.10 × 311,062.16
  4. Step 4: Simplify right side
    525,847.42x = 225,774,545,953.10
  5. Step 5: Solve for x
    x = 225,774,545,953.10/525,847.42
  6. Step 6: Final answer
    x = 429,353.72

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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.