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Finding the Fourth Proportional to 402,859.40, 604,289.10 and 122,340.20

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Solution

The fourth proportional to 402,859.40, 604,289.10 and 122,340.20 is: 183,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,859.40 : 604,289.10 = 122,340.20 : x
  2. Step 2: Convert to fraction form
    402,859.40/604,289.10 = 122,340.20/x
  3. Step 3: Cross multiply
    402,859.40x = 604,289.10 × 122,340.20
  4. Step 4: Simplify right side
    402,859.40x = 73,928,849,351.82
  5. Step 5: Solve for x
    x = 73,928,849,351.82/402,859.40
  6. Step 6: Final answer
    x = 183,510.30

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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.