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Finding the Fourth Proportional to 425,281.80, 638,009.10 and 144,827.40

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Solution

The fourth proportional to 425,281.80, 638,009.10 and 144,827.40 is: 217,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,281.80 : 638,009.10 = 144,827.40 : x
  2. Step 2: Convert to fraction form
    425,281.80/638,009.10 = 144,827.40/x
  3. Step 3: Cross multiply
    425,281.80x = 638,009.10 × 144,827.40
  4. Step 4: Simplify right side
    425,281.80x = 92,401,199,129.34
  5. Step 5: Solve for x
    x = 92,401,199,129.34/425,281.80
  6. Step 6: Final answer
    x = 217,270.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.