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Finding the Fourth Proportional to 501,643, 692,041.26 and 297,702.51

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Solution

The fourth proportional to 501,643, 692,041.26 and 297,702.51 is: 410,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,643 : 692,041.26 = 297,702.51 : x
  2. Step 2: Convert to fraction form
    501,643/692,041.26 = 297,702.51/x
  3. Step 3: Cross multiply
    501,643x = 692,041.26 × 297,702.51
  4. Step 4: Simplify right side
    501,643x = 206,022,420,125.56
  5. Step 5: Solve for x
    x = 206,022,420,125.56/501,643
  6. Step 6: Final answer
    x = 410,695.30

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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.