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Finding the Fourth Proportional to 288,966,078.40, 434,156,906.40 and 217,302,462.40

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Solution

The fourth proportional to 288,966,078.40, 434,156,906.40 and 217,302,462.40 is: 326,485,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,966,078.40 : 434,156,906.40 = 217,302,462.40 : x
  2. Step 2: Convert to fraction form
    288,966,078.40/434,156,906.40 = 217,302,462.40/x
  3. Step 3: Cross multiply
    288,966,078.40x = 434,156,906.40 × 217,302,462.40
  4. Step 4: Simplify right side
    288,966,078.40x = 94,343,364,828,686,320
  5. Step 5: Solve for x
    x = 94,343,364,828,686,320/288,966,078.40
  6. Step 6: Final answer
    x = 326,485,950.71

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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.