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Finding the Fourth Proportional to 288,082.60, 432,123.90 and 77,741.80

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Solution

The fourth proportional to 288,082.60, 432,123.90 and 77,741.80 is: 116,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,082.60 : 432,123.90 = 77,741.80 : x
  2. Step 2: Convert to fraction form
    288,082.60/432,123.90 = 77,741.80/x
  3. Step 3: Cross multiply
    288,082.60x = 432,123.90 × 77,741.80
  4. Step 4: Simplify right side
    288,082.60x = 33,594,089,809.02
  5. Step 5: Solve for x
    x = 33,594,089,809.02/288,082.60
  6. Step 6: Final answer
    x = 116,612.70

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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.