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Finding the Fourth Proportional to 465,409.32, 642,341.08 and 387,761.88

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Solution

The fourth proportional to 465,409.32, 642,341.08 and 387,761.88 is: 535,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,409.32 : 642,341.08 = 387,761.88 : x
  2. Step 2: Convert to fraction form
    465,409.32/642,341.08 = 387,761.88/x
  3. Step 3: Cross multiply
    465,409.32x = 642,341.08 × 387,761.88
  4. Step 4: Simplify right side
    465,409.32x = 249,075,384,782.03
  5. Step 5: Solve for x
    x = 249,075,384,782.03/465,409.32
  6. Step 6: Final answer
    x = 535,174.90

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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.