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Finding the Fourth Proportional to 315,307.84, 472,909.92 and 93,640

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Solution

The fourth proportional to 315,307.84, 472,909.92 and 93,640 is: 140,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,307.84 : 472,909.92 = 93,640 : x
  2. Step 2: Convert to fraction form
    315,307.84/472,909.92 = 93,640/x
  3. Step 3: Cross multiply
    315,307.84x = 472,909.92 × 93,640
  4. Step 4: Simplify right side
    315,307.84x = 44,283,284,908.80
  5. Step 5: Solve for x
    x = 44,283,284,908.80/315,307.84
  6. Step 6: Final answer
    x = 140,444.60

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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.