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Finding the Fourth Proportional to 538,030.40, 807,823.20 and 405,838.40

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Solution

The fourth proportional to 538,030.40, 807,823.20 and 405,838.40 is: 609,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,030.40 : 807,823.20 = 405,838.40 : x
  2. Step 2: Convert to fraction form
    538,030.40/807,823.20 = 405,838.40/x
  3. Step 3: Cross multiply
    538,030.40x = 807,823.20 × 405,838.40
  4. Step 4: Simplify right side
    538,030.40x = 327,845,674,970.88
  5. Step 5: Solve for x
    x = 327,845,674,970.88/538,030.40
  6. Step 6: Final answer
    x = 609,344.15

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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.