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Finding the Fourth Proportional to 512,250.72, 706,248.88 and 420,030.24

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Solution

The fourth proportional to 512,250.72, 706,248.88 and 420,030.24 is: 579,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,250.72 : 706,248.88 = 420,030.24 : x
  2. Step 2: Convert to fraction form
    512,250.72/706,248.88 = 420,030.24/x
  3. Step 3: Cross multiply
    512,250.72x = 706,248.88 × 420,030.24
  4. Step 4: Simplify right side
    512,250.72x = 296,645,886,566.13
  5. Step 5: Solve for x
    x = 296,645,886,566.13/512,250.72
  6. Step 6: Final answer
    x = 579,102.92

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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.