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Finding the Fourth Proportional to 501,698.88, 690,656.16 and 434,647.08

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Solution

The fourth proportional to 501,698.88, 690,656.16 and 434,647.08 is: 598,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,698.88 : 690,656.16 = 434,647.08 : x
  2. Step 2: Convert to fraction form
    501,698.88/690,656.16 = 434,647.08/x
  3. Step 3: Cross multiply
    501,698.88x = 690,656.16 × 434,647.08
  4. Step 4: Simplify right side
    501,698.88x = 300,191,683,228.01
  5. Step 5: Solve for x
    x = 300,191,683,228.01/501,698.88
  6. Step 6: Final answer
    x = 598,350.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.