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Finding the Fourth Proportional to 347,348.77, 520,950.25 and 97,972.45

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Solution

The fourth proportional to 347,348.77, 520,950.25 and 97,972.45 is: 146,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,348.77 : 520,950.25 = 97,972.45 : x
  2. Step 2: Convert to fraction form
    347,348.77/520,950.25 = 97,972.45/x
  3. Step 3: Cross multiply
    347,348.77x = 520,950.25 × 97,972.45
  4. Step 4: Simplify right side
    347,348.77x = 51,038,774,071.05
  5. Step 5: Solve for x
    x = 51,038,774,071.05/347,348.77
  6. Step 6: Final answer
    x = 146,938.12

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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.