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Finding the Fourth Proportional to 402,946.80, 604,420.20 and 284,848.80

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Solution

The fourth proportional to 402,946.80, 604,420.20 and 284,848.80 is: 427,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,946.80 : 604,420.20 = 284,848.80 : x
  2. Step 2: Convert to fraction form
    402,946.80/604,420.20 = 284,848.80/x
  3. Step 3: Cross multiply
    402,946.80x = 604,420.20 × 284,848.80
  4. Step 4: Simplify right side
    402,946.80x = 172,168,368,665.76
  5. Step 5: Solve for x
    x = 172,168,368,665.76/402,946.80
  6. Step 6: Final answer
    x = 427,273.20

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1.5x scale

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.