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Finding the Fourth Proportional to 304,543.60, 456,815.40 and 210,065.20

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Solution

The fourth proportional to 304,543.60, 456,815.40 and 210,065.20 is: 315,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,543.60 : 456,815.40 = 210,065.20 : x
  2. Step 2: Convert to fraction form
    304,543.60/456,815.40 = 210,065.20/x
  3. Step 3: Cross multiply
    304,543.60x = 456,815.40 × 210,065.20
  4. Step 4: Simplify right side
    304,543.60x = 95,961,018,364.08
  5. Step 5: Solve for x
    x = 95,961,018,364.08/304,543.60
  6. Step 6: Final answer
    x = 315,097.80

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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.