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Finding the Fourth Proportional to 470,927.30, 706,391.08 and 138,503.30

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Solution

The fourth proportional to 470,927.30, 706,391.08 and 138,503.30 is: 207,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,927.30 : 706,391.08 = 138,503.30 : x
  2. Step 2: Convert to fraction form
    470,927.30/706,391.08 = 138,503.30/x
  3. Step 3: Cross multiply
    470,927.30x = 706,391.08 × 138,503.30
  4. Step 4: Simplify right side
    470,927.30x = 97,837,491,792.35
  5. Step 5: Solve for x
    x = 97,837,491,792.35/470,927.30
  6. Step 6: Final answer
    x = 207,754.98

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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.