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Finding the Fourth Proportional to 349,139,728.56, 523,116,931.53 and 210,674,375.25

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Solution

The fourth proportional to 349,139,728.56, 523,116,931.53 and 210,674,375.25 is: 315,653,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,139,728.56 : 523,116,931.53 = 210,674,375.25 : x
  2. Step 2: Convert to fraction form
    349,139,728.56/523,116,931.53 = 210,674,375.25/x
  3. Step 3: Cross multiply
    349,139,728.56x = 523,116,931.53 × 210,674,375.25
  4. Step 4: Simplify right side
    349,139,728.56x = 110,207,332,732,779,776
  5. Step 5: Solve for x
    x = 110,207,332,732,779,776/349,139,728.56
  6. Step 6: Final answer
    x = 315,653,945.16

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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.