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Finding the Fourth Proportional to 630,135.84, 944,888.40 and 209,264.16

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Solution

The fourth proportional to 630,135.84, 944,888.40 and 209,264.16 is: 313,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,135.84 : 944,888.40 = 209,264.16 : x
  2. Step 2: Convert to fraction form
    630,135.84/944,888.40 = 209,264.16/x
  3. Step 3: Cross multiply
    630,135.84x = 944,888.40 × 209,264.16
  4. Step 4: Simplify right side
    630,135.84x = 197,731,277,319.74
  5. Step 5: Solve for x
    x = 197,731,277,319.74/630,135.84
  6. Step 6: Final answer
    x = 313,791.51

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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.