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Finding the Fourth Proportional to 480,851.86, 721,343.40 and 200,303.50

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Solution

The fourth proportional to 480,851.86, 721,343.40 and 200,303.50 is: 300,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,851.86 : 721,343.40 = 200,303.50 : x
  2. Step 2: Convert to fraction form
    480,851.86/721,343.40 = 200,303.50/x
  3. Step 3: Cross multiply
    480,851.86x = 721,343.40 × 200,303.50
  4. Step 4: Simplify right side
    480,851.86x = 144,487,607,721.90
  5. Step 5: Solve for x
    x = 144,487,607,721.90/480,851.86
  6. Step 6: Final answer
    x = 300,482.58

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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.