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Finding the Fourth Proportional to 385,553.70, 578,416.95 and 148,875.30

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Solution

The fourth proportional to 385,553.70, 578,416.95 and 148,875.30 is: 223,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,553.70 : 578,416.95 = 148,875.30 : x
  2. Step 2: Convert to fraction form
    385,553.70/578,416.95 = 148,875.30/x
  3. Step 3: Cross multiply
    385,553.70x = 578,416.95 × 148,875.30
  4. Step 4: Simplify right side
    385,553.70x = 86,111,996,956.34
  5. Step 5: Solve for x
    x = 86,111,996,956.34/385,553.70
  6. Step 6: Final answer
    x = 223,346.31

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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.