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Finding the Fourth Proportional to 385,539.34, 578,215.86 and 148,730.98

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Solution

The fourth proportional to 385,539.34, 578,215.86 and 148,730.98 is: 223,060.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,539.34 : 578,215.86 = 148,730.98 : x
  2. Step 2: Convert to fraction form
    385,539.34/578,215.86 = 148,730.98/x
  3. Step 3: Cross multiply
    385,539.34x = 578,215.86 × 148,730.98
  4. Step 4: Simplify right side
    385,539.34x = 85,998,611,509.34
  5. Step 5: Solve for x
    x = 85,998,611,509.34/385,539.34
  6. Step 6: Final answer
    x = 223,060.54

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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.