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Finding the Fourth Proportional to 564,346.16, 778,807.20 and 309,721.04

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Solution

The fourth proportional to 564,346.16, 778,807.20 and 309,721.04 is: 427,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,346.16 : 778,807.20 = 309,721.04 : x
  2. Step 2: Convert to fraction form
    564,346.16/778,807.20 = 309,721.04/x
  3. Step 3: Cross multiply
    564,346.16x = 778,807.20 × 309,721.04
  4. Step 4: Simplify right side
    564,346.16x = 241,212,975,943.49
  5. Step 5: Solve for x
    x = 241,212,975,943.49/564,346.16
  6. Step 6: Final answer
    x = 427,420.25

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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.