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Finding the Fourth Proportional to 385,364.70, 578,047.05 and 292,052.70

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Solution

The fourth proportional to 385,364.70, 578,047.05 and 292,052.70 is: 438,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,364.70 : 578,047.05 = 292,052.70 : x
  2. Step 2: Convert to fraction form
    385,364.70/578,047.05 = 292,052.70/x
  3. Step 3: Cross multiply
    385,364.70x = 578,047.05 × 292,052.70
  4. Step 4: Simplify right side
    385,364.70x = 168,820,201,679.54
  5. Step 5: Solve for x
    x = 168,820,201,679.54/385,364.70
  6. Step 6: Final answer
    x = 438,079.05

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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.