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Finding the Fourth Proportional to 520,038.40, 780,316.80 and 295,571.20

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Solution

The fourth proportional to 520,038.40, 780,316.80 and 295,571.20 is: 443,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,038.40 : 780,316.80 = 295,571.20 : x
  2. Step 2: Convert to fraction form
    520,038.40/780,316.80 = 295,571.20/x
  3. Step 3: Cross multiply
    520,038.40x = 780,316.80 × 295,571.20
  4. Step 4: Simplify right side
    520,038.40x = 230,639,172,956.16
  5. Step 5: Solve for x
    x = 230,639,172,956.16/520,038.40
  6. Step 6: Final answer
    x = 443,504.12

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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.