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Finding the Fourth Proportional to 316,013.12, 435,838.28 and 225,340.10

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Solution

The fourth proportional to 316,013.12, 435,838.28 and 225,340.10 is: 310,784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,013.12 : 435,838.28 = 225,340.10 : x
  2. Step 2: Convert to fraction form
    316,013.12/435,838.28 = 225,340.10/x
  3. Step 3: Cross multiply
    316,013.12x = 435,838.28 × 225,340.10
  4. Step 4: Simplify right side
    316,013.12x = 98,211,841,599.03
  5. Step 5: Solve for x
    x = 98,211,841,599.03/316,013.12
  6. Step 6: Final answer
    x = 310,784.06

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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.