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Finding the Fourth Proportional to 761,718, 1,051,205.13 and 435,059.40

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Solution

The fourth proportional to 761,718, 1,051,205.13 and 435,059.40 is: 600,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,718 : 1,051,205.13 = 435,059.40 : x
  2. Step 2: Convert to fraction form
    761,718/1,051,205.13 = 435,059.40/x
  3. Step 3: Cross multiply
    761,718x = 1,051,205.13 × 435,059.40
  4. Step 4: Simplify right side
    761,718x = 457,336,673,134.72
  5. Step 5: Solve for x
    x = 457,336,673,134.72/761,718
  6. Step 6: Final answer
    x = 600,401.56

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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.