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Finding the Fourth Proportional to 288,340.76, 432,522.90 and 98,931.36

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Solution

The fourth proportional to 288,340.76, 432,522.90 and 98,931.36 is: 148,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,340.76 : 432,522.90 = 98,931.36 : x
  2. Step 2: Convert to fraction form
    288,340.76/432,522.90 = 98,931.36/x
  3. Step 3: Cross multiply
    288,340.76x = 432,522.90 × 98,931.36
  4. Step 4: Simplify right side
    288,340.76x = 42,790,078,728.14
  5. Step 5: Solve for x
    x = 42,790,078,728.14/288,340.76
  6. Step 6: Final answer
    x = 148,401.07

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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.