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Finding the Fourth Proportional to 523,507.64, 785,167.91 and 139,258.58

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Solution

The fourth proportional to 523,507.64, 785,167.91 and 139,258.58 is: 208,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,507.64 : 785,167.91 = 139,258.58 : x
  2. Step 2: Convert to fraction form
    523,507.64/785,167.91 = 139,258.58/x
  3. Step 3: Cross multiply
    523,507.64x = 785,167.91 × 139,258.58
  4. Step 4: Simplify right side
    523,507.64x = 109,341,363,586.04
  5. Step 5: Solve for x
    x = 109,341,363,586.04/523,507.64
  6. Step 6: Final answer
    x = 208,862.97

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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.