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Finding the Fourth Proportional to 385,703.40, 578,555.10 and 164,058.60

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Solution

The fourth proportional to 385,703.40, 578,555.10 and 164,058.60 is: 246,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,703.40 : 578,555.10 = 164,058.60 : x
  2. Step 2: Convert to fraction form
    385,703.40/578,555.10 = 164,058.60/x
  3. Step 3: Cross multiply
    385,703.40x = 578,555.10 × 164,058.60
  4. Step 4: Simplify right side
    385,703.40x = 94,916,939,728.86
  5. Step 5: Solve for x
    x = 94,916,939,728.86/385,703.40
  6. Step 6: Final answer
    x = 246,087.90

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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.