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Finding the Fourth Proportional to 347,455.98, 520,301.88 and 291,148.02

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Solution

The fourth proportional to 347,455.98, 520,301.88 and 291,148.02 is: 435,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,455.98 : 520,301.88 = 291,148.02 : x
  2. Step 2: Convert to fraction form
    347,455.98/520,301.88 = 291,148.02/x
  3. Step 3: Cross multiply
    347,455.98x = 520,301.88 × 291,148.02
  4. Step 4: Simplify right side
    347,455.98x = 151,484,862,164.28
  5. Step 5: Solve for x
    x = 151,484,862,164.28/347,455.98
  6. Step 6: Final answer
    x = 435,982.89

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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.