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Finding the Fourth Proportional to 577,075.10, 865,612.65 and 311,354.60

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Solution

The fourth proportional to 577,075.10, 865,612.65 and 311,354.60 is: 467,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,075.10 : 865,612.65 = 311,354.60 : x
  2. Step 2: Convert to fraction form
    577,075.10/865,612.65 = 311,354.60/x
  3. Step 3: Cross multiply
    577,075.10x = 865,612.65 × 311,354.60
  4. Step 4: Simplify right side
    577,075.10x = 269,512,480,395.69
  5. Step 5: Solve for x
    x = 269,512,480,395.69/577,075.10
  6. Step 6: Final answer
    x = 467,031.90

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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.