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Finding the Fourth Proportional to 426,712.20, 640,068.30 and 407,029.20

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Solution

The fourth proportional to 426,712.20, 640,068.30 and 407,029.20 is: 610,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,712.20 : 640,068.30 = 407,029.20 : x
  2. Step 2: Convert to fraction form
    426,712.20/640,068.30 = 407,029.20/x
  3. Step 3: Cross multiply
    426,712.20x = 640,068.30 × 407,029.20
  4. Step 4: Simplify right side
    426,712.20x = 260,526,488,094.36
  5. Step 5: Solve for x
    x = 260,526,488,094.36/426,712.20
  6. Step 6: Final answer
    x = 610,543.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.