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Finding the Fourth Proportional to 601,978.83, 830,444.58 and 360,212.73

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Solution

The fourth proportional to 601,978.83, 830,444.58 and 360,212.73 is: 496,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,978.83 : 830,444.58 = 360,212.73 : x
  2. Step 2: Convert to fraction form
    601,978.83/830,444.58 = 360,212.73/x
  3. Step 3: Cross multiply
    601,978.83x = 830,444.58 × 360,212.73
  4. Step 4: Simplify right side
    601,978.83x = 299,136,709,275.50
  5. Step 5: Solve for x
    x = 299,136,709,275.50/601,978.83
  6. Step 6: Final answer
    x = 496,922.31

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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.