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Finding the Fourth Proportional to 402,783.20, 604,261.20 and 122,328.80

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Solution

The fourth proportional to 402,783.20, 604,261.20 and 122,328.80 is: 183,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,783.20 : 604,261.20 = 122,328.80 : x
  2. Step 2: Convert to fraction form
    402,783.20/604,261.20 = 122,328.80/x
  3. Step 3: Cross multiply
    402,783.20x = 604,261.20 × 122,328.80
  4. Step 4: Simplify right side
    402,783.20x = 73,918,547,482.56
  5. Step 5: Solve for x
    x = 73,918,547,482.56/402,783.20
  6. Step 6: Final answer
    x = 183,519.44

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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.