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Finding the Fourth Proportional to 529,011.84, 730,036.16 and 287,294.48

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Solution

The fourth proportional to 529,011.84, 730,036.16 and 287,294.48 is: 396,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,011.84 : 730,036.16 = 287,294.48 : x
  2. Step 2: Convert to fraction form
    529,011.84/730,036.16 = 287,294.48/x
  3. Step 3: Cross multiply
    529,011.84x = 730,036.16 × 287,294.48
  4. Step 4: Simplify right side
    529,011.84x = 209,735,353,881.74
  5. Step 5: Solve for x
    x = 209,735,353,881.74/529,011.84
  6. Step 6: Final answer
    x = 396,466.28

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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.