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Finding the Fourth Proportional to 340,876.40, 510,749.52 and 207,352.72

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Solution

The fourth proportional to 340,876.40, 510,749.52 and 207,352.72 is: 310,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,876.40 : 510,749.52 = 207,352.72 : x
  2. Step 2: Convert to fraction form
    340,876.40/510,749.52 = 207,352.72/x
  3. Step 3: Cross multiply
    340,876.40x = 510,749.52 × 207,352.72
  4. Step 4: Simplify right side
    340,876.40x = 105,905,302,210.69
  5. Step 5: Solve for x
    x = 105,905,302,210.69/340,876.40
  6. Step 6: Final answer
    x = 310,685.35

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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.