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Finding the Fourth Proportional to 315,098.76, 435,199.02 and 229,440.72

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Solution

The fourth proportional to 315,098.76, 435,199.02 and 229,440.72 is: 316,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,098.76 : 435,199.02 = 229,440.72 : x
  2. Step 2: Convert to fraction form
    315,098.76/435,199.02 = 229,440.72/x
  3. Step 3: Cross multiply
    315,098.76x = 435,199.02 × 229,440.72
  4. Step 4: Simplify right side
    315,098.76x = 99,852,376,492.09
  5. Step 5: Solve for x
    x = 99,852,376,492.09/315,098.76
  6. Step 6: Final answer
    x = 316,892.32

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1.5x scale

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.