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Finding the Fourth Proportional to 349,039.16, 523,558.68 and 99,721.16

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Solution

The fourth proportional to 349,039.16, 523,558.68 and 99,721.16 is: 149,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,039.16 : 523,558.68 = 99,721.16 : x
  2. Step 2: Convert to fraction form
    349,039.16/523,558.68 = 99,721.16/x
  3. Step 3: Cross multiply
    349,039.16x = 523,558.68 × 99,721.16
  4. Step 4: Simplify right side
    349,039.16x = 52,209,878,897.67
  5. Step 5: Solve for x
    x = 52,209,878,897.67/349,039.16
  6. Step 6: Final answer
    x = 149,581.72

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1.5x scale

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.