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Finding the Fourth Proportional to 384,805.40, 577,985.70 and 371,586.20

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Solution

The fourth proportional to 384,805.40, 577,985.70 and 371,586.20 is: 558,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,805.40 : 577,985.70 = 371,586.20 : x
  2. Step 2: Convert to fraction form
    384,805.40/577,985.70 = 371,586.20/x
  3. Step 3: Cross multiply
    384,805.40x = 577,985.70 × 371,586.20
  4. Step 4: Simplify right side
    384,805.40x = 214,771,509,917.34
  5. Step 5: Solve for x
    x = 214,771,509,917.34/384,805.40
  6. Step 6: Final answer
    x = 558,130.19

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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.