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Finding the Fourth Proportional to 430,875.68, 645,351.06 and 312,274.76

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Solution

The fourth proportional to 430,875.68, 645,351.06 and 312,274.76 is: 467,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,875.68 : 645,351.06 = 312,274.76 : x
  2. Step 2: Convert to fraction form
    430,875.68/645,351.06 = 312,274.76/x
  3. Step 3: Cross multiply
    430,875.68x = 645,351.06 × 312,274.76
  4. Step 4: Simplify right side
    430,875.68x = 201,526,847,377.25
  5. Step 5: Solve for x
    x = 201,526,847,377.25/430,875.68
  6. Step 6: Final answer
    x = 467,714.60

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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.