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Finding the Fourth Proportional to 525,730.27, 725,749.95 and 307,908.71

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Solution

The fourth proportional to 525,730.27, 725,749.95 and 307,908.71 is: 425,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,730.27 : 725,749.95 = 307,908.71 : x
  2. Step 2: Convert to fraction form
    525,730.27/725,749.95 = 307,908.71/x
  3. Step 3: Cross multiply
    525,730.27x = 725,749.95 × 307,908.71
  4. Step 4: Simplify right side
    525,730.27x = 223,464,733,856.10
  5. Step 5: Solve for x
    x = 223,464,733,856.10/525,730.27
  6. Step 6: Final answer
    x = 425,055.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.