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Finding the Fourth Proportional to 710,497.20, 1,065,745.80 and 512,209.20

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Solution

The fourth proportional to 710,497.20, 1,065,745.80 and 512,209.20 is: 768,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,497.20 : 1,065,745.80 = 512,209.20 : x
  2. Step 2: Convert to fraction form
    710,497.20/1,065,745.80 = 512,209.20/x
  3. Step 3: Cross multiply
    710,497.20x = 1,065,745.80 × 512,209.20
  4. Step 4: Simplify right side
    710,497.20x = 545,884,803,621.36
  5. Step 5: Solve for x
    x = 545,884,803,621.36/710,497.20
  6. Step 6: Final answer
    x = 768,313.80

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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.