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Finding the Fourth Proportional to 403,875.20, 605,812.80 and 364,509.20

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Solution

The fourth proportional to 403,875.20, 605,812.80 and 364,509.20 is: 546,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,875.20 : 605,812.80 = 364,509.20 : x
  2. Step 2: Convert to fraction form
    403,875.20/605,812.80 = 364,509.20/x
  3. Step 3: Cross multiply
    403,875.20x = 605,812.80 × 364,509.20
  4. Step 4: Simplify right side
    403,875.20x = 220,824,339,077.76
  5. Step 5: Solve for x
    x = 220,824,339,077.76/403,875.20
  6. Step 6: Final answer
    x = 546,763.80

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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.