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Finding the Fourth Proportional to 402,328.90, 602,509.20 and 191,720.80

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Solution

The fourth proportional to 402,328.90, 602,509.20 and 191,720.80 is: 287,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,328.90 : 602,509.20 = 191,720.80 : x
  2. Step 2: Convert to fraction form
    402,328.90/602,509.20 = 191,720.80/x
  3. Step 3: Cross multiply
    402,328.90x = 602,509.20 × 191,720.80
  4. Step 4: Simplify right side
    402,328.90x = 115,513,545,831.36
  5. Step 5: Solve for x
    x = 115,513,545,831.36/402,328.90
  6. Step 6: Final answer
    x = 287,112.23

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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.