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Finding the Fourth Proportional to 647,108.14, 892,746.18 and 429,419.46

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Solution

The fourth proportional to 647,108.14, 892,746.18 and 429,419.46 is: 592,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,108.14 : 892,746.18 = 429,419.46 : x
  2. Step 2: Convert to fraction form
    647,108.14/892,746.18 = 429,419.46/x
  3. Step 3: Cross multiply
    647,108.14x = 892,746.18 × 429,419.46
  4. Step 4: Simplify right side
    647,108.14x = 383,362,582,532.66
  5. Step 5: Solve for x
    x = 383,362,582,532.66/647,108.14
  6. Step 6: Final answer
    x = 592,424.29

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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.