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Finding the Fourth Proportional to 328,308, 492,509.52 and 103,592.16

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Solution

The fourth proportional to 328,308, 492,509.52 and 103,592.16 is: 155,403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,308 : 492,509.52 = 103,592.16 : x
  2. Step 2: Convert to fraction form
    328,308/492,509.52 = 103,592.16/x
  3. Step 3: Cross multiply
    328,308x = 492,509.52 × 103,592.16
  4. Step 4: Simplify right side
    328,308x = 51,020,124,997.36
  5. Step 5: Solve for x
    x = 51,020,124,997.36/328,308
  6. Step 6: Final answer
    x = 155,403.23

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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.