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Finding the Fourth Proportional to 401,539.20, 602,308.80 and 307,060.80

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Solution

The fourth proportional to 401,539.20, 602,308.80 and 307,060.80 is: 460,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,539.20 : 602,308.80 = 307,060.80 : x
  2. Step 2: Convert to fraction form
    401,539.20/602,308.80 = 307,060.80/x
  3. Step 3: Cross multiply
    401,539.20x = 602,308.80 × 307,060.80
  4. Step 4: Simplify right side
    401,539.20x = 184,945,421,975.04
  5. Step 5: Solve for x
    x = 184,945,421,975.04/401,539.20
  6. Step 6: Final answer
    x = 460,591.20

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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.