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Finding the Fourth Proportional to 403,106.20, 604,659.30 and 146,958

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Solution

The fourth proportional to 403,106.20, 604,659.30 and 146,958 is: 220,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,106.20 : 604,659.30 = 146,958 : x
  2. Step 2: Convert to fraction form
    403,106.20/604,659.30 = 146,958/x
  3. Step 3: Cross multiply
    403,106.20x = 604,659.30 × 146,958
  4. Step 4: Simplify right side
    403,106.20x = 88,859,521,409.40
  5. Step 5: Solve for x
    x = 88,859,521,409.40/403,106.20
  6. Step 6: Final answer
    x = 220,437.00

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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.