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Finding the Fourth Proportional to 926,643, 1,278,758.70 and 524,235

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Solution

The fourth proportional to 926,643, 1,278,758.70 and 524,235 is: 723,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,643 : 1,278,758.70 = 524,235 : x
  2. Step 2: Convert to fraction form
    926,643/1,278,758.70 = 524,235/x
  3. Step 3: Cross multiply
    926,643x = 1,278,758.70 × 524,235
  4. Step 4: Simplify right side
    926,643x = 670,370,067,094.50
  5. Step 5: Solve for x
    x = 670,370,067,094.50/926,643
  6. Step 6: Final answer
    x = 723,439.41

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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.