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Finding the Fourth Proportional to 610,780.35, 916,468.61 and 432,014.36

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Solution

The fourth proportional to 610,780.35, 916,468.61 and 432,014.36 is: 648,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,780.35 : 916,468.61 = 432,014.36 : x
  2. Step 2: Convert to fraction form
    610,780.35/916,468.61 = 432,014.36/x
  3. Step 3: Cross multiply
    610,780.35x = 916,468.61 × 432,014.36
  4. Step 4: Simplify right side
    610,780.35x = 395,927,600,140.34
  5. Step 5: Solve for x
    x = 395,927,600,140.34/610,780.35
  6. Step 6: Final answer
    x = 648,232.38

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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.