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Finding the Fourth Proportional to 575,151.60, 793,710 and 320,497.20

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Solution

The fourth proportional to 575,151.60, 793,710 and 320,497.20 is: 442,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,151.60 : 793,710 = 320,497.20 : x
  2. Step 2: Convert to fraction form
    575,151.60/793,710 = 320,497.20/x
  3. Step 3: Cross multiply
    575,151.60x = 793,710 × 320,497.20
  4. Step 4: Simplify right side
    575,151.60x = 254,381,832,612
  5. Step 5: Solve for x
    x = 254,381,832,612/575,151.60
  6. Step 6: Final answer
    x = 442,286.58

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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.