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Finding the Fourth Proportional to 577,707.76, 797,221.78 and 319,577.98

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Solution

The fourth proportional to 577,707.76, 797,221.78 and 319,577.98 is: 441,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,707.76 : 797,221.78 = 319,577.98 : x
  2. Step 2: Convert to fraction form
    577,707.76/797,221.78 = 319,577.98/x
  3. Step 3: Cross multiply
    577,707.76x = 797,221.78 × 319,577.98
  4. Step 4: Simplify right side
    577,707.76x = 254,774,526,064.40
  5. Step 5: Solve for x
    x = 254,774,526,064.40/577,707.76
  6. Step 6: Final answer
    x = 441,009.35

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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.