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Finding the Fourth Proportional to 604,564.80, 907,430.40 and 305,383.20

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Solution

The fourth proportional to 604,564.80, 907,430.40 and 305,383.20 is: 458,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,564.80 : 907,430.40 = 305,383.20 : x
  2. Step 2: Convert to fraction form
    604,564.80/907,430.40 = 305,383.20/x
  3. Step 3: Cross multiply
    604,564.80x = 907,430.40 × 305,383.20
  4. Step 4: Simplify right side
    604,564.80x = 277,113,999,329.28
  5. Step 5: Solve for x
    x = 277,113,999,329.28/604,564.80
  6. Step 6: Final answer
    x = 458,369.39

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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.