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Finding the Fourth Proportional to 511,251.76, 705,528.80 and 307,419.40

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Solution

The fourth proportional to 511,251.76, 705,528.80 and 307,419.40 is: 424,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,251.76 : 705,528.80 = 307,419.40 : x
  2. Step 2: Convert to fraction form
    511,251.76/705,528.80 = 307,419.40/x
  3. Step 3: Cross multiply
    511,251.76x = 705,528.80 × 307,419.40
  4. Step 4: Simplify right side
    511,251.76x = 216,893,240,378.72
  5. Step 5: Solve for x
    x = 216,893,240,378.72/511,251.76
  6. Step 6: Final answer
    x = 424,239.60

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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.