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Finding the Fourth Proportional to 385,590.08, 578,409.62 and 119,328.24

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Solution

The fourth proportional to 385,590.08, 578,409.62 and 119,328.24 is: 178,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,590.08 : 578,409.62 = 119,328.24 : x
  2. Step 2: Convert to fraction form
    385,590.08/578,409.62 = 119,328.24/x
  3. Step 3: Cross multiply
    385,590.08x = 578,409.62 × 119,328.24
  4. Step 4: Simplify right side
    385,590.08x = 69,020,601,953.67
  5. Step 5: Solve for x
    x = 69,020,601,953.67/385,590.08
  6. Step 6: Final answer
    x = 178,999.94

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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.