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Finding the Fourth Proportional to 525,671.40, 725,501.70 and 299,337.96

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Solution

The fourth proportional to 525,671.40, 725,501.70 and 299,337.96 is: 413,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,671.40 : 725,501.70 = 299,337.96 : x
  2. Step 2: Convert to fraction form
    525,671.40/725,501.70 = 299,337.96/x
  3. Step 3: Cross multiply
    525,671.40x = 725,501.70 × 299,337.96
  4. Step 4: Simplify right side
    525,671.40x = 217,170,198,854.53
  5. Step 5: Solve for x
    x = 217,170,198,854.53/525,671.40
  6. Step 6: Final answer
    x = 413,129.19

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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.