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Finding the Fourth Proportional to 520,515.20, 780,772.80 and 402,271.40

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Solution

The fourth proportional to 520,515.20, 780,772.80 and 402,271.40 is: 603,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,515.20 : 780,772.80 = 402,271.40 : x
  2. Step 2: Convert to fraction form
    520,515.20/780,772.80 = 402,271.40/x
  3. Step 3: Cross multiply
    520,515.20x = 780,772.80 × 402,271.40
  4. Step 4: Simplify right side
    520,515.20x = 314,082,567,337.92
  5. Step 5: Solve for x
    x = 314,082,567,337.92/520,515.20
  6. Step 6: Final answer
    x = 603,407.10

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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.