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Finding the Fourth Proportional to 314,152.40, 470,537.40 and 272,680.40

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Solution

The fourth proportional to 314,152.40, 470,537.40 and 272,680.40 is: 408,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,152.40 : 470,537.40 = 272,680.40 : x
  2. Step 2: Convert to fraction form
    314,152.40/470,537.40 = 272,680.40/x
  3. Step 3: Cross multiply
    314,152.40x = 470,537.40 × 272,680.40
  4. Step 4: Simplify right side
    314,152.40x = 128,306,326,446.96
  5. Step 5: Solve for x
    x = 128,306,326,446.96/314,152.40
  6. Step 6: Final answer
    x = 408,420.65

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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.