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Finding the Fourth Proportional to 255,294.54, 382,956.21 and 77,807.34

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Solution

The fourth proportional to 255,294.54, 382,956.21 and 77,807.34 is: 116,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,294.54 : 382,956.21 = 77,807.34 : x
  2. Step 2: Convert to fraction form
    255,294.54/382,956.21 = 77,807.34/x
  3. Step 3: Cross multiply
    255,294.54x = 382,956.21 × 77,807.34
  4. Step 4: Simplify right side
    255,294.54x = 29,796,803,647.54
  5. Step 5: Solve for x
    x = 29,796,803,647.54/255,294.54
  6. Step 6: Final answer
    x = 116,715.40

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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.