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Finding the Fourth Proportional to 523,686.57, 785,528.35 and 139,435.38

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Solution

The fourth proportional to 523,686.57, 785,528.35 and 139,435.38 is: 209,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,686.57 : 785,528.35 = 139,435.38 : x
  2. Step 2: Convert to fraction form
    523,686.57/785,528.35 = 139,435.38/x
  3. Step 3: Cross multiply
    523,686.57x = 785,528.35 × 139,435.38
  4. Step 4: Simplify right side
    523,686.57x = 109,530,443,983.02
  5. Step 5: Solve for x
    x = 109,530,443,983.02/523,686.57
  6. Step 6: Final answer
    x = 209,152.67

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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.