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Finding the Fourth Proportional to 288,307.80, 432,461.70 and 271,978.20

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Solution

The fourth proportional to 288,307.80, 432,461.70 and 271,978.20 is: 407,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,307.80 : 432,461.70 = 271,978.20 : x
  2. Step 2: Convert to fraction form
    288,307.80/432,461.70 = 271,978.20/x
  3. Step 3: Cross multiply
    288,307.80x = 432,461.70 × 271,978.20
  4. Step 4: Simplify right side
    288,307.80x = 117,620,154,734.94
  5. Step 5: Solve for x
    x = 117,620,154,734.94/288,307.80
  6. Step 6: Final answer
    x = 407,967.30

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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.