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Finding the Fourth Proportional to 458,667.40, 688,001.10 and 440,296.60

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Solution

The fourth proportional to 458,667.40, 688,001.10 and 440,296.60 is: 660,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,667.40 : 688,001.10 = 440,296.60 : x
  2. Step 2: Convert to fraction form
    458,667.40/688,001.10 = 440,296.60/x
  3. Step 3: Cross multiply
    458,667.40x = 688,001.10 × 440,296.60
  4. Step 4: Simplify right side
    458,667.40x = 302,924,545,126.26
  5. Step 5: Solve for x
    x = 302,924,545,126.26/458,667.40
  6. Step 6: Final answer
    x = 660,444.90

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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.