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Finding the Fourth Proportional to 328,041.60, 492,062.40 and 324,931.20

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Solution

The fourth proportional to 328,041.60, 492,062.40 and 324,931.20 is: 487,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,041.60 : 492,062.40 = 324,931.20 : x
  2. Step 2: Convert to fraction form
    328,041.60/492,062.40 = 324,931.20/x
  3. Step 3: Cross multiply
    328,041.60x = 492,062.40 × 324,931.20
  4. Step 4: Simplify right side
    328,041.60x = 159,886,426,106.88
  5. Step 5: Solve for x
    x = 159,886,426,106.88/328,041.60
  6. Step 6: Final answer
    x = 487,396.80

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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.