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Finding the Fourth Proportional to 410,267.80, 615,401.70 and 223,643.80

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Solution

The fourth proportional to 410,267.80, 615,401.70 and 223,643.80 is: 335,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,267.80 : 615,401.70 = 223,643.80 : x
  2. Step 2: Convert to fraction form
    410,267.80/615,401.70 = 223,643.80/x
  3. Step 3: Cross multiply
    410,267.80x = 615,401.70 × 223,643.80
  4. Step 4: Simplify right side
    410,267.80x = 137,630,774,714.46
  5. Step 5: Solve for x
    x = 137,630,774,714.46/410,267.80
  6. Step 6: Final answer
    x = 335,465.70

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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.