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Finding the Fourth Proportional to 458,172.42, 686,982.51 and 205,407.20

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Solution

The fourth proportional to 458,172.42, 686,982.51 and 205,407.20 is: 307,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,172.42 : 686,982.51 = 205,407.20 : x
  2. Step 2: Convert to fraction form
    458,172.42/686,982.51 = 205,407.20/x
  3. Step 3: Cross multiply
    458,172.42x = 686,982.51 × 205,407.20
  4. Step 4: Simplify right side
    458,172.42x = 141,111,153,828.07
  5. Step 5: Solve for x
    x = 141,111,153,828.07/458,172.42
  6. Step 6: Final answer
    x = 307,987.01

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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.