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Finding the Fourth Proportional to 385,303.68, 577,994.40 and 145,357.38

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Solution

The fourth proportional to 385,303.68, 577,994.40 and 145,357.38 is: 218,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,303.68 : 577,994.40 = 145,357.38 : x
  2. Step 2: Convert to fraction form
    385,303.68/577,994.40 = 145,357.38/x
  3. Step 3: Cross multiply
    385,303.68x = 577,994.40 × 145,357.38
  4. Step 4: Simplify right side
    385,303.68x = 84,015,751,638.67
  5. Step 5: Solve for x
    x = 84,015,751,638.67/385,303.68
  6. Step 6: Final answer
    x = 218,050.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.