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Finding the Fourth Proportional to 528,354.78, 729,412.47 and 407,230.62

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Solution

The fourth proportional to 528,354.78, 729,412.47 and 407,230.62 is: 562,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,354.78 : 729,412.47 = 407,230.62 : x
  2. Step 2: Convert to fraction form
    528,354.78/729,412.47 = 407,230.62/x
  3. Step 3: Cross multiply
    528,354.78x = 729,412.47 × 407,230.62
  4. Step 4: Simplify right side
    528,354.78x = 297,039,092,393.83
  5. Step 5: Solve for x
    x = 297,039,092,393.83/528,354.78
  6. Step 6: Final answer
    x = 562,196.28

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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.