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Finding the Fourth Proportional to 348,085.76, 522,302.08 and 137,875.20

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Solution

The fourth proportional to 348,085.76, 522,302.08 and 137,875.20 is: 206,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,085.76 : 522,302.08 = 137,875.20 : x
  2. Step 2: Convert to fraction form
    348,085.76/522,302.08 = 137,875.20/x
  3. Step 3: Cross multiply
    348,085.76x = 522,302.08 × 137,875.20
  4. Step 4: Simplify right side
    348,085.76x = 72,012,503,740.42
  5. Step 5: Solve for x
    x = 72,012,503,740.42/348,085.76
  6. Step 6: Final answer
    x = 206,881.50

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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.