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Finding the Fourth Proportional to 288,570.60, 432,650.97 and 207,565.74

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Solution

The fourth proportional to 288,570.60, 432,650.97 and 207,565.74 is: 311,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,570.60 : 432,650.97 = 207,565.74 : x
  2. Step 2: Convert to fraction form
    288,570.60/432,650.97 = 207,565.74/x
  3. Step 3: Cross multiply
    288,570.60x = 432,650.97 × 207,565.74
  4. Step 4: Simplify right side
    288,570.60x = 89,803,518,749.77
  5. Step 5: Solve for x
    x = 89,803,518,749.77/288,570.60
  6. Step 6: Final answer
    x = 311,201.21

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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.