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Finding the Fourth Proportional to 377,828.40, 565,430.40 and 259,730.40

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Solution

The fourth proportional to 377,828.40, 565,430.40 and 259,730.40 is: 388,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,828.40 : 565,430.40 = 259,730.40 : x
  2. Step 2: Convert to fraction form
    377,828.40/565,430.40 = 259,730.40/x
  3. Step 3: Cross multiply
    377,828.40x = 565,430.40 × 259,730.40
  4. Step 4: Simplify right side
    377,828.40x = 146,859,463,964.16
  5. Step 5: Solve for x
    x = 146,859,463,964.16/377,828.40
  6. Step 6: Final answer
    x = 388,693.55

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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.