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Finding the Fourth Proportional to 385,735.15, 578,695.11 and 160,970.56

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Solution

The fourth proportional to 385,735.15, 578,695.11 and 160,970.56 is: 241,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,735.15 : 578,695.11 = 160,970.56 : x
  2. Step 2: Convert to fraction form
    385,735.15/578,695.11 = 160,970.56/x
  3. Step 3: Cross multiply
    385,735.15x = 578,695.11 × 160,970.56
  4. Step 4: Simplify right side
    385,735.15x = 93,152,875,925.96
  5. Step 5: Solve for x
    x = 93,152,875,925.96/385,735.15
  6. Step 6: Final answer
    x = 241,494.39

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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.