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Finding the Fourth Proportional to 402,419.65, 554,784.20 and 321,024.16

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Solution

The fourth proportional to 402,419.65, 554,784.20 and 321,024.16 is: 442,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,419.65 : 554,784.20 = 321,024.16 : x
  2. Step 2: Convert to fraction form
    402,419.65/554,784.20 = 321,024.16/x
  3. Step 3: Cross multiply
    402,419.65x = 554,784.20 × 321,024.16
  4. Step 4: Simplify right side
    402,419.65x = 178,099,130,181.15
  5. Step 5: Solve for x
    x = 178,099,130,181.15/402,419.65
  6. Step 6: Final answer
    x = 442,570.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.