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Finding the Fourth Proportional to 345,208.76, 517,572.48 and 152,978.51

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Solution

The fourth proportional to 345,208.76, 517,572.48 and 152,978.51 is: 229,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,208.76 : 517,572.48 = 152,978.51 : x
  2. Step 2: Convert to fraction form
    345,208.76/517,572.48 = 152,978.51/x
  3. Step 3: Cross multiply
    345,208.76x = 517,572.48 × 152,978.51
  4. Step 4: Simplify right side
    345,208.76x = 79,177,466,807.40
  5. Step 5: Solve for x
    x = 79,177,466,807.40/345,208.76
  6. Step 6: Final answer
    x = 229,361.12

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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.