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Finding the Fourth Proportional to 512,281.80, 767,904.30 and 301,811.40

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Solution

The fourth proportional to 512,281.80, 767,904.30 and 301,811.40 is: 452,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,281.80 : 767,904.30 = 301,811.40 : x
  2. Step 2: Convert to fraction form
    512,281.80/767,904.30 = 301,811.40/x
  3. Step 3: Cross multiply
    512,281.80x = 767,904.30 × 301,811.40
  4. Step 4: Simplify right side
    512,281.80x = 231,762,271,849.02
  5. Step 5: Solve for x
    x = 231,762,271,849.02/512,281.80
  6. Step 6: Final answer
    x = 452,411.68

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1.5x scale

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.