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Finding the Fourth Proportional to 384,004.20, 575,315.10 and 313,501.80

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Solution

The fourth proportional to 384,004.20, 575,315.10 and 313,501.80 is: 469,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,004.20 : 575,315.10 = 313,501.80 : x
  2. Step 2: Convert to fraction form
    384,004.20/575,315.10 = 313,501.80/x
  3. Step 3: Cross multiply
    384,004.20x = 575,315.10 × 313,501.80
  4. Step 4: Simplify right side
    384,004.20x = 180,362,319,417.18
  5. Step 5: Solve for x
    x = 180,362,319,417.18/384,004.20
  6. Step 6: Final answer
    x = 469,688.40

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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.