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Finding the Fourth Proportional to 385,431.36, 578,312.48 and 148,940.16

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Solution

The fourth proportional to 385,431.36, 578,312.48 and 148,940.16 is: 223,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,431.36 : 578,312.48 = 148,940.16 : x
  2. Step 2: Convert to fraction form
    385,431.36/578,312.48 = 148,940.16/x
  3. Step 3: Cross multiply
    385,431.36x = 578,312.48 × 148,940.16
  4. Step 4: Simplify right side
    385,431.36x = 86,133,953,301.20
  5. Step 5: Solve for x
    x = 86,133,953,301.20/385,431.36
  6. Step 6: Final answer
    x = 223,474.17

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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.