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Finding the Fourth Proportional to 345,748, 518,709.52 and 96,430

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Solution

The fourth proportional to 345,748, 518,709.52 and 96,430 is: 144,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,748 : 518,709.52 = 96,430 : x
  2. Step 2: Convert to fraction form
    345,748/518,709.52 = 96,430/x
  3. Step 3: Cross multiply
    345,748x = 518,709.52 × 96,430
  4. Step 4: Simplify right side
    345,748x = 50,019,159,013.60
  5. Step 5: Solve for x
    x = 50,019,159,013.60/345,748
  6. Step 6: Final answer
    x = 144,669.41

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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.