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Finding the Fourth Proportional to 566,209.50, 781,374.65 and 311,566.16

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Solution

The fourth proportional to 566,209.50, 781,374.65 and 311,566.16 is: 429,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,209.50 : 781,374.65 = 311,566.16 : x
  2. Step 2: Convert to fraction form
    566,209.50/781,374.65 = 311,566.16/x
  3. Step 3: Cross multiply
    566,209.50x = 781,374.65 × 311,566.16
  4. Step 4: Simplify right side
    566,209.50x = 243,449,893,757.14
  5. Step 5: Solve for x
    x = 243,449,893,757.14/566,209.50
  6. Step 6: Final answer
    x = 429,964.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.