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Finding the Fourth Proportional to 402,109.46, 554,955.34 and 230,043.40

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Solution

The fourth proportional to 402,109.46, 554,955.34 and 230,043.40 is: 317,485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,109.46 : 554,955.34 = 230,043.40 : x
  2. Step 2: Convert to fraction form
    402,109.46/554,955.34 = 230,043.40/x
  3. Step 3: Cross multiply
    402,109.46x = 554,955.34 × 230,043.40
  4. Step 4: Simplify right side
    402,109.46x = 127,663,813,261.76
  5. Step 5: Solve for x
    x = 127,663,813,261.76/402,109.46
  6. Step 6: Final answer
    x = 317,485.23

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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.