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Finding the Fourth Proportional to 334,428.85, 501,643.28 and 156,953.80

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Solution

The fourth proportional to 334,428.85, 501,643.28 and 156,953.80 is: 235,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,428.85 : 501,643.28 = 156,953.80 : x
  2. Step 2: Convert to fraction form
    334,428.85/501,643.28 = 156,953.80/x
  3. Step 3: Cross multiply
    334,428.85x = 501,643.28 × 156,953.80
  4. Step 4: Simplify right side
    334,428.85x = 78,734,819,040.46
  5. Step 5: Solve for x
    x = 78,734,819,040.46/334,428.85
  6. Step 6: Final answer
    x = 235,430.70

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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.