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Finding the Fourth Proportional to 265,415.70, 398,123.55 and 202,430.10

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Solution

The fourth proportional to 265,415.70, 398,123.55 and 202,430.10 is: 303,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,415.70 : 398,123.55 = 202,430.10 : x
  2. Step 2: Convert to fraction form
    265,415.70/398,123.55 = 202,430.10/x
  3. Step 3: Cross multiply
    265,415.70x = 398,123.55 × 202,430.10
  4. Step 4: Simplify right side
    265,415.70x = 80,592,190,038.86
  5. Step 5: Solve for x
    x = 80,592,190,038.86/265,415.70
  6. Step 6: Final answer
    x = 303,645.15

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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.