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Finding the Fourth Proportional to 607,141.40, 910,712.10 and 429,848.60

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Solution

The fourth proportional to 607,141.40, 910,712.10 and 429,848.60 is: 644,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,141.40 : 910,712.10 = 429,848.60 : x
  2. Step 2: Convert to fraction form
    607,141.40/910,712.10 = 429,848.60/x
  3. Step 3: Cross multiply
    607,141.40x = 910,712.10 × 429,848.60
  4. Step 4: Simplify right side
    607,141.40x = 391,468,321,188.06
  5. Step 5: Solve for x
    x = 391,468,321,188.06/607,141.40
  6. Step 6: Final answer
    x = 644,772.90

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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.