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Finding the Fourth Proportional to 528,663.82, 729,536.52 and 286,941.20

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Solution

The fourth proportional to 528,663.82, 729,536.52 and 286,941.20 is: 395,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,663.82 : 729,536.52 = 286,941.20 : x
  2. Step 2: Convert to fraction form
    528,663.82/729,536.52 = 286,941.20/x
  3. Step 3: Cross multiply
    528,663.82x = 729,536.52 × 286,941.20
  4. Step 4: Simplify right side
    528,663.82x = 209,334,084,492.62
  5. Step 5: Solve for x
    x = 209,334,084,492.62/528,663.82
  6. Step 6: Final answer
    x = 395,968.24

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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.