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Finding the Fourth Proportional to 564,048.75, 778,387.28 and 309,400.55

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Solution

The fourth proportional to 564,048.75, 778,387.28 and 309,400.55 is: 426,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,048.75 : 778,387.28 = 309,400.55 : x
  2. Step 2: Convert to fraction form
    564,048.75/778,387.28 = 309,400.55/x
  3. Step 3: Cross multiply
    564,048.75x = 778,387.28 × 309,400.55
  4. Step 4: Simplify right side
    564,048.75x = 240,833,447,106.07
  5. Step 5: Solve for x
    x = 240,833,447,106.07/564,048.75
  6. Step 6: Final answer
    x = 426,972.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.