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Finding the Fourth Proportional to 306,714.42, 459,459 and 243,641.34

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Solution

The fourth proportional to 306,714.42, 459,459 and 243,641.34 is: 364,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,714.42 : 459,459 = 243,641.34 : x
  2. Step 2: Convert to fraction form
    306,714.42/459,459 = 243,641.34/x
  3. Step 3: Cross multiply
    306,714.42x = 459,459 × 243,641.34
  4. Step 4: Simplify right side
    306,714.42x = 111,943,206,435.06
  5. Step 5: Solve for x
    x = 111,943,206,435.06/306,714.42
  6. Step 6: Final answer
    x = 364,975.36

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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.