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Finding the Fourth Proportional to 292,439.52, 438,570.84 and 152,121.60

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Solution

The fourth proportional to 292,439.52, 438,570.84 and 152,121.60 is: 228,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,439.52 : 438,570.84 = 152,121.60 : x
  2. Step 2: Convert to fraction form
    292,439.52/438,570.84 = 152,121.60/x
  3. Step 3: Cross multiply
    292,439.52x = 438,570.84 × 152,121.60
  4. Step 4: Simplify right side
    292,439.52x = 66,716,097,894.14
  5. Step 5: Solve for x
    x = 66,716,097,894.14/292,439.52
  6. Step 6: Final answer
    x = 228,136.40

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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.