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Finding the Fourth Proportional to 458,071.74, 686,775.47 and 307,939.67

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Solution

The fourth proportional to 458,071.74, 686,775.47 and 307,939.67 is: 461,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,071.74 : 686,775.47 = 307,939.67 : x
  2. Step 2: Convert to fraction form
    458,071.74/686,775.47 = 307,939.67/x
  3. Step 3: Cross multiply
    458,071.74x = 686,775.47 × 307,939.67
  4. Step 4: Simplify right side
    458,071.74x = 211,485,406,622.32
  5. Step 5: Solve for x
    x = 211,485,406,622.32/458,071.74
  6. Step 6: Final answer
    x = 461,686.21

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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.