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Finding the Fourth Proportional to 564,643.69, 779,209.60 and 310,011.28

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Solution

The fourth proportional to 564,643.69, 779,209.60 and 310,011.28 is: 427,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,643.69 : 779,209.60 = 310,011.28 : x
  2. Step 2: Convert to fraction form
    564,643.69/779,209.60 = 310,011.28/x
  3. Step 3: Cross multiply
    564,643.69x = 779,209.60 × 310,011.28
  4. Step 4: Simplify right side
    564,643.69x = 241,563,765,484.29
  5. Step 5: Solve for x
    x = 241,563,765,484.29/564,643.69
  6. Step 6: Final answer
    x = 427,816.28

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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.