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Finding the Fourth Proportional to 391,435.20, 540,404.64 and 257,688

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Solution

The fourth proportional to 391,435.20, 540,404.64 and 257,688 is: 355,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,435.20 : 540,404.64 = 257,688 : x
  2. Step 2: Convert to fraction form
    391,435.20/540,404.64 = 257,688/x
  3. Step 3: Cross multiply
    391,435.20x = 540,404.64 × 257,688
  4. Step 4: Simplify right side
    391,435.20x = 139,255,790,872.32
  5. Step 5: Solve for x
    x = 139,255,790,872.32/391,435.20
  6. Step 6: Final answer
    x = 355,756.94

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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.