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Finding the Fourth Proportional to 472,885.50, 652,492.71 and 281,916.66

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Solution

The fourth proportional to 472,885.50, 652,492.71 and 281,916.66 is: 388,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,885.50 : 652,492.71 = 281,916.66 : x
  2. Step 2: Convert to fraction form
    472,885.50/652,492.71 = 281,916.66/x
  3. Step 3: Cross multiply
    472,885.50x = 652,492.71 × 281,916.66
  4. Step 4: Simplify right side
    472,885.50x = 183,948,565,477.55
  5. Step 5: Solve for x
    x = 183,948,565,477.55/472,885.50
  6. Step 6: Final answer
    x = 388,991.77

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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.