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Finding the Fourth Proportional to 278,312.76, 384,070.01 and 150,985.62

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Solution

The fourth proportional to 278,312.76, 384,070.01 and 150,985.62 is: 208,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,312.76 : 384,070.01 = 150,985.62 : x
  2. Step 2: Convert to fraction form
    278,312.76/384,070.01 = 150,985.62/x
  3. Step 3: Cross multiply
    278,312.76x = 384,070.01 × 150,985.62
  4. Step 4: Simplify right side
    278,312.76x = 57,989,047,828.33
  5. Step 5: Solve for x
    x = 57,989,047,828.33/278,312.76
  6. Step 6: Final answer
    x = 208,359.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.