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Finding the Fourth Proportional to 458,307.18, 687,296.73 and 158,707.32

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Solution

The fourth proportional to 458,307.18, 687,296.73 and 158,707.32 is: 238,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,307.18 : 687,296.73 = 158,707.32 : x
  2. Step 2: Convert to fraction form
    458,307.18/687,296.73 = 158,707.32/x
  3. Step 3: Cross multiply
    458,307.18x = 687,296.73 × 158,707.32
  4. Step 4: Simplify right side
    458,307.18x = 109,079,022,063.06
  5. Step 5: Solve for x
    x = 109,079,022,063.06/458,307.18
  6. Step 6: Final answer
    x = 238,004.17

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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.