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Finding the Fourth Proportional to 349,005.06, 523,478.40 and 138,586.50

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Solution

The fourth proportional to 349,005.06, 523,478.40 and 138,586.50 is: 207,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,005.06 : 523,478.40 = 138,586.50 : x
  2. Step 2: Convert to fraction form
    349,005.06/523,478.40 = 138,586.50/x
  3. Step 3: Cross multiply
    349,005.06x = 523,478.40 × 138,586.50
  4. Step 4: Simplify right side
    349,005.06x = 72,547,039,281.60
  5. Step 5: Solve for x
    x = 72,547,039,281.60/349,005.06
  6. Step 6: Final answer
    x = 207,868.16

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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.