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Finding the Fourth Proportional to 501,978.47, 692,529.95 and 320,643.36

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Solution

The fourth proportional to 501,978.47, 692,529.95 and 320,643.36 is: 442,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,978.47 : 692,529.95 = 320,643.36 : x
  2. Step 2: Convert to fraction form
    501,978.47/692,529.95 = 320,643.36/x
  3. Step 3: Cross multiply
    501,978.47x = 692,529.95 × 320,643.36
  4. Step 4: Simplify right side
    501,978.47x = 222,055,130,870.24
  5. Step 5: Solve for x
    x = 222,055,130,870.24/501,978.47
  6. Step 6: Final answer
    x = 442,359.87

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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.