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Finding the Fourth Proportional to 385,576.60, 578,192.10 and 148,840.60

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Solution

The fourth proportional to 385,576.60, 578,192.10 and 148,840.60 is: 223,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,576.60 : 578,192.10 = 148,840.60 : x
  2. Step 2: Convert to fraction form
    385,576.60/578,192.10 = 148,840.60/x
  3. Step 3: Cross multiply
    385,576.60x = 578,192.10 × 148,840.60
  4. Step 4: Simplify right side
    385,576.60x = 86,058,459,079.26
  5. Step 5: Solve for x
    x = 86,058,459,079.26/385,576.60
  6. Step 6: Final answer
    x = 223,194.20

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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.