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Finding the Fourth Proportional to 384,259.28, 530,275.76 and 223,153.94

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Solution

The fourth proportional to 384,259.28, 530,275.76 and 223,153.94 is: 307,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,259.28 : 530,275.76 = 223,153.94 : x
  2. Step 2: Convert to fraction form
    384,259.28/530,275.76 = 223,153.94/x
  3. Step 3: Cross multiply
    384,259.28x = 530,275.76 × 223,153.94
  4. Step 4: Simplify right side
    384,259.28x = 118,333,125,130.49
  5. Step 5: Solve for x
    x = 118,333,125,130.49/384,259.28
  6. Step 6: Final answer
    x = 307,951.25

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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.