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Finding the Fourth Proportional to 545,851.20, 817,999.20 and 402,578.40

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Solution

The fourth proportional to 545,851.20, 817,999.20 and 402,578.40 is: 603,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,851.20 : 817,999.20 = 402,578.40 : x
  2. Step 2: Convert to fraction form
    545,851.20/817,999.20 = 402,578.40/x
  3. Step 3: Cross multiply
    545,851.20x = 817,999.20 × 402,578.40
  4. Step 4: Simplify right side
    545,851.20x = 329,308,809,137.28
  5. Step 5: Solve for x
    x = 329,308,809,137.28/545,851.20
  6. Step 6: Final answer
    x = 603,294.10

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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.