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Finding the Fourth Proportional to 345,973.95, 519,030.97 and 146,294.01

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Solution

The fourth proportional to 345,973.95, 519,030.97 and 146,294.01 is: 219,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,973.95 : 519,030.97 = 146,294.01 : x
  2. Step 2: Convert to fraction form
    345,973.95/519,030.97 = 146,294.01/x
  3. Step 3: Cross multiply
    345,973.95x = 519,030.97 × 146,294.01
  4. Step 4: Simplify right side
    345,973.95x = 75,931,121,549.75
  5. Step 5: Solve for x
    x = 75,931,121,549.75/345,973.95
  6. Step 6: Final answer
    x = 219,470.63

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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.