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Finding the Fourth Proportional to 564,168.24, 778,552.56 and 309,533.40

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Solution

The fourth proportional to 564,168.24, 778,552.56 and 309,533.40 is: 427,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,168.24 : 778,552.56 = 309,533.40 : x
  2. Step 2: Convert to fraction form
    564,168.24/778,552.56 = 309,533.40/x
  3. Step 3: Cross multiply
    564,168.24x = 778,552.56 × 309,533.40
  4. Step 4: Simplify right side
    564,168.24x = 240,988,020,975.50
  5. Step 5: Solve for x
    x = 240,988,020,975.50/564,168.24
  6. Step 6: Final answer
    x = 427,156.31

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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.